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U DUALITY

  • U-duality
  • Conjectured duality combining S-duality and T-duality

    In physics, U-duality (short for unified duality) is a symmetry of string theory or M-theory combining S-duality and T-duality transformations. The term

    U-duality

    U-duality

  • S-duality
  • Equivalence of two physical theories

    In theoretical physics, S-duality (short for strong–weak duality, or Sen duality) is an equivalence of two physical theories, which may be either quantum

    S-duality

    S-duality

  • T-duality
  • Equivalence of two physical theories

    In theoretical physics, T-duality (short for target-space duality) is an equivalence of two physical theories, which may be either quantum field theories

    T-duality

    T-duality

  • Duality
  • Topics referred to by the same term

    Look up duality in Wiktionary, the free dictionary. Duality may refer to: Duality (mathematics), a mathematical concept Dual (category theory), a formalization

    Duality

    Duality

  • String theory
  • Theory of subatomic structure

    Two theories related by a duality need not be string theories. For example, Montonen–Olive duality is an example of an S-duality relationship between quantum

    String theory

    String_theory

  • Duality (mathematics)
  • General concept and operation in mathematics

    the duality, the complement of the interior of any set U is equal to the closure of the complement of U. A duality in geometry is provided by the dual cone

    Duality (mathematics)

    Duality_(mathematics)

  • M-theory
  • Framework of superstring theory

    mathematical transformations called S-duality and T-duality. Witten's conjecture was based in part on the existence of these dualities and in part on the relationship

    M-theory

    M-theory

  • Holographic principle
  • Principle in theoretical physics

    sometimes called Maldacena duality named after the Argentinian physicist Juan Maldacena (after ref.) or gauge/gravity duality, is a conjectured relationship

    Holographic principle

    Holographic_principle

  • Duality (projective geometry)
  • Concept in projective geometry

    In projective geometry, duality or plane duality is a formalization of the striking symmetry of the roles played by points and lines in the definitions

    Duality (projective geometry)

    Duality_(projective_geometry)

  • Duality (optimization)
  • Principle in mathematical optimization

    In mathematical optimization theory, duality or the duality principle is the principle that optimization problems may be viewed from either of two perspectives

    Duality (optimization)

    Duality_(optimization)

  • AdS/CFT correspondence
  • Duality between theories of gravity on anti-de Sitter space and conformal field theories

    field theories. Much of the usefulness of the duality results from the fact that it is a strong–weak duality: when the fields of the quantum field theory

    AdS/CFT correspondence

    AdS/CFT_correspondence

  • History of string theory
  • unified, as long hoped, by new equivalences. These are known as S-duality, T-duality, U-duality, mirror symmetry, and conifold transitions. The different theories

    History of string theory

    History_of_string_theory

  • Montonen–Olive duality
  • Strong-weak duality in supersymmetric theories of theoretical physics

    Montonen–Olive duality or electric–magnetic duality is the oldest known example of strong–weak duality or S-duality according to current terminology. It

    Montonen–Olive duality

    Montonen–Olive_duality

  • String duality
  • Class of symmetries in string theory

    theorists believe in its validity. Mirror symmetry U-duality Polchinski, Joseph (1996-10-01). "String duality". Reviews of Modern Physics. 68 (4). American

    String duality

    String_duality

  • List of dualities
  • Isbell duality Jónsson–Tarski duality Lagrange duality Langlands dual Lefschetz duality Local Tate duality Opposite category Poincaré duality Twisted

    List of dualities

    List_of_dualities

  • Superstring theory
  • Theory of strings with supersymmetry

    a G2 manifold. A particular exact symmetry of string/M-theory called T-duality (which exchanges momentum modes for winding number and sends compact dimensions

    Superstring theory

    Superstring_theory

  • D-brane
  • Extended objects found in string theory

    1989, Dai, Leigh, Polchinski, and Hořava independently, discovered that T-duality interchanges the usual Neumann boundary conditions with Dirichlet boundary

    D-brane

    D-brane

    D-brane

  • Duality (song)
  • 2004 single by Slipknot

    AllMusic said that "Duality"'s lyrics "aren't unique" to Slipknot but described it as "otherwise strong". Stylus Magazine said "Duality" had a "grindcore

    Duality (song)

    Duality_(song)

  • F-theory
  • Branch of string theory

    one obtains type IIB superstring theory in 10 dimensions. The SL(2,Z) S-duality symmetry of the resulting type IIB string theory is manifest because it

    F-theory

    F-theory

  • Heterotic string theory
  • Physics concept of subatomic structure

    called S-duality. The HO and HE theories are also related by T-duality. Because the various superstring theories were shown to be related by dualities, it

    Heterotic string theory

    Heterotic_string_theory

  • Bosonic string theory
  • 26-dimensional string theory

    (-1-u/2)}{\Gamma (2+s/2)\Gamma (2+t/2)\Gamma (2+u/2)}}} Where k {\displaystyle k} is the total momentum and s {\displaystyle s} , t {\displaystyle t} , u

    Bosonic string theory

    Bosonic_string_theory

  • Mirror symmetry (string theory)
  • In physics and geometry: conjectured relation between pairs of Calabi–Yau manifolds

    particular example of what physicists call a physical duality. In general, the term physical duality refers to a situation where two seemingly different

    Mirror symmetry (string theory)

    Mirror_symmetry_(string_theory)

  • Dual graviton
  • Hypothetical particle found in supergravity

    physics, the dual graviton is a hypothetical elementary particle that is a dual of the graviton under electric–magnetic duality, as an S-duality, predicted

    Dual graviton

    Dual graviton

    Dual_graviton

  • Calabi–Yau manifold
  • Riemannian manifold with SU(n) holonomy

    Brian (1997), String theory on Calabi–Yau manifolds, Fields, strings and duality (Boulder, CO, 1996), River Edge, NJ: World Sci. Publ., pp. 543–726,

    Calabi–Yau manifold

    Calabi–Yau manifold

    Calabi–Yau_manifold

  • Exceptional field theory
  • Reformulation of supergravity

    manifest. Exceptional group symmetries such as En(n) are manifestations of U-duality in the context of M-theory. In 1979, Eugène Cremmer and Bernard Julia

    Exceptional field theory

    Exceptional_field_theory

  • K3 surface
  • Type of smooth complex surface of kodaira dimension 0

    (1909). Aspinwall, Paul (1996), "K3 surfaces and string duality", Fields, strings and duality (Boulder, CO, 1996), World Scientific, pp. 421–540, arXiv:hep-th/9611137

    K3 surface

    K3 surface

    K3_surface

  • Schur–Weyl duality
  • Mathematical theorem in representation theory

    Schur–Weyl duality is a mathematical theorem in representation theory that relates irreducible finite-dimensional representations of the general linear

    Schur–Weyl duality

    Schur–Weyl_duality

  • Vertex operator algebra
  • Algebra used in 2D conformal field theories and string theory

    For any u ∈ V , Y ( 1 , z ) u = u {\displaystyle u\in V\,,\,Y(1,z)u=u} and Y ( u , z ) 1 ∈ u + z V [ [ z ] ] {\displaystyle \,Y(u,z)1\in u+zV[[z]]}

    Vertex operator algebra

    Vertex_operator_algebra

  • E8 (mathematics)
  • 248-dimensional exceptional simple Lie group

    can be coupled to the N = 1 supergravity in ten dimensions. E8 is the U-duality group of supergravity on an eight-torus (in its split form). One way to

    E8 (mathematics)

    E8 (mathematics)

    E8_(mathematics)

  • Dual linear program
  • Mathematical optimization concept

    belong to a larger class of duality theorems in optimization. The strong duality theorem is one of the cases in which the duality gap (the gap between the

    Dual linear program

    Dual_linear_program

  • Type I string theory
  • Aspect of theoretical physics

    the coupling 1 / g {\displaystyle 1/g} . This equivalence is known as S-duality. Tzitzimpasis, P.https://webspace.science.uu.nl/~caval101/homepage/Stu

    Type I string theory

    Type_I_string_theory

  • Topological string theory
  • Theory in theoretical physics

    and so arrive at the same geometry as in the dual theory. The mirror dual of this duality is another duality, which relates open strings in the B model

    Topological string theory

    Topological_string_theory

  • P-form electrodynamics
  • Generalization of electrodynamics

    Hodge duality maps electric charges of a description to magnetic charges of the dual description: Q p ( e ) [ S u D − 2 ] ↔ Q q ( m ) [ S u D − 2 ]

    P-form electrodynamics

    P-form_electrodynamics

  • K-theory (physics)
  • Application of K-theory in string theory

    ten-dimensional spacetime, then a complication arises due to the self-duality of the RR fluxes. The duality uses the Hodge star, which depends on the metric and so

    K-theory (physics)

    K-theory_(physics)

  • List of string theory topics
  • revolution Second superstring revolution T-duality S-duality U-duality Montonen–Olive duality Mysterious duality Graviton Dilaton Tachyon Ramond–Ramond field

    List of string theory topics

    List_of_string_theory_topics

  • Type II string theory
  • Aspect of theoretical physics

    incorporates various extended objects like D0, D2, D4 and D6 branes (using Hodge duality) among the D-branes (which are R {\displaystyle {\text{R}}} R {\displaystyle

    Type II string theory

    Type_II_string_theory

  • Ryu–Takayanagi conjecture
  • Theoretical Physics

    a given dimension are dual to a gauge theory in one lower dimension. The AdS/CFT correspondence is one example of such duality. Here, the field theory

    Ryu–Takayanagi conjecture

    Ryu–Takayanagi_conjecture

  • Nambu–Goto action
  • Invariant action in bosonic string theory

    is the difference between kinetic and potential energy: L = K − U {\displaystyle L=K-U} . The action, often written S {\displaystyle S} , is then the integral

    Nambu–Goto action

    Nambu–Goto_action

  • N = 4 supersymmetric Yang–Mills theory
  • Superconformal Yang–Mills theory

    {\displaystyle G} to its Langlands dual group. This theory is also important in the context of the holographic principle. There is a duality between Type IIB string

    N = 4 supersymmetric Yang–Mills theory

    N_=_4_supersymmetric_Yang–Mills_theory

  • Worldsheet
  • Mathematical concept

    1007/978-1-4612-2256-9. ISBN 978-1-4612-2256-9. Susskind, Leonard (1970). "Dual-symmetric theory of hadrons, I.". Nuovo Cimento A. 69 (1): 457–496. Tong

    Worldsheet

    Worldsheet

  • Niels Obers
  • Dutch theoretical physicist

    irrational conformal field theory, non-perturbative dualities in string theory (notably U-duality), and the dynamics of black holes and black branes via

    Niels Obers

    Niels Obers

    Niels_Obers

  • Instanton
  • Solitons in Euclidean spacetime

    calculated by Nathan Seiberg and Edward Witten in "Electric – magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang–Mills

    Instanton

    Instanton

    Instanton

  • Dual resonance model
  • Model in string theory

    of the dual N point function." Nordita preprint (1969); unpublished. Susskind, Leonard (1970-02-15). "Structure of Hadrons Implied by Duality". Physical

    Dual resonance model

    Dual_resonance_model

  • Hyperkähler manifold
  • Type of Riemannian manifold

    anti-self dual Yang–Mills equations: instanton moduli spaces, monopole moduli spaces, spaces of solutions to Nigel Hitchin's self-duality equations on

    Hyperkähler manifold

    Hyperkähler_manifold

  • Supersymmetry
  • Symmetry between bosons and fermions

    realistic theories. A prime example of this has been the demonstration of S-duality in four-dimensional gauge theories that interchanges particles and monopoles

    Supersymmetry

    Supersymmetry

  • Tannaka–Krein duality
  • Duality between a group and its representations

    In mathematics, Tannaka–Krein duality theory concerns the interaction of a compact topological group and its category of linear representations. It is

    Tannaka–Krein duality

    Tannaka–Krein_duality

  • Matrix string theory
  • Set of equations that describe superstring theory in a non-perturbative framework

    supersymmetric two-dimensional gauge theory, the gauge group of which is U(N) for a large value of N. This matrix string theory was first proposed by

    Matrix string theory

    Matrix_string_theory

  • Dual photon
  • Hypothetical particle dual to the photon

    theoretical physics, the dual photon is a hypothetical elementary particle that is a dual of the photon under electric–magnetic duality which is predicted by

    Dual photon

    Dual photon

    Dual_photon

  • G2 (mathematics)
  • Simple Lie group; the automorphism group of the octonions

    C 1 = t 2 + u 2 + v 2 + w 2 + x 2 + y 2 + z 2 {\displaystyle C_{1}=t^{2}+u^{2}+v^{2}+w^{2}+x^{2}+y^{2}+z^{2}} C 2 = t u v + w t x + y w u + z y t + v

    G2 (mathematics)

    G2 (mathematics)

    G2_(mathematics)

  • NS5-brane
  • Object in six-dimensional spacetime

    supergravity solutions of Lunin and Mathur. David Tong (2002). "NS5-Branes, T-Duality and Worldsheet Instantons". Journal of High Energy Physics. 2002 (7): 013

    NS5-brane

    NS5-brane

  • Dual space
  • In mathematics, vector space of linear forms

    contravariance of vectors Dual module Dual norm Duality (mathematics) Duality (projective geometry) Pontryagin duality Reciprocal lattice – dual space basis, in

    Dual space

    Dual_space

  • SYZ conjecture
  • Mathematical conjecture

    submanifolds. On the other hand, T-duality does the same transformation in this case, thus "mirror symmetry is T-duality". The initial proposal of the SYZ

    SYZ conjecture

    SYZ_conjecture

  • G2 manifold
  • Seven-dimensional Riemannian manifold

    third Betti number of the G 2 {\displaystyle G_{2}} manifold and a number of U(1) vector supermultiplets equal to the second Betti number. Calabi–Yau manifold

    G2 manifold

    G2_manifold

  • 6D (2,0) superconformal field theory
  • Predicted field theory in physics

    surface, one obtains a four-dimensional quantum field theory, and there is a duality known as the AGT correspondence which relates the physics of this theory

    6D (2,0) superconformal field theory

    6D_(2,0)_superconformal_field_theory

  • Kähler manifold
  • Manifold with Riemannian, complex and symplectic structure

    {\displaystyle H^{p,q}\cong {\overline {H^{n-p,n-q}}}} . It also follows from Serre duality. A simple consequence of Hodge theory is that every odd Betti number b

    Kähler manifold

    Kähler_manifold

  • Glossary of string theory
  • dual resonance model An early precursor of string theory. duality A hidden connection between two different theories, such as S-duality, T-duality, U-duality

    Glossary of string theory

    Glossary_of_string_theory

  • Fuzzball (string theory)
  • Quantum description of black holes

    particular variant of superstring theory called Type IIB (see also String duality), which holds that strings are both "open" (double-ended entities) and

    Fuzzball (string theory)

    Fuzzball_(string_theory)

  • Supergroup (physics)
  • Algebraic structure used in theoretical physics

    properties of the supergroup. There is another related Hopf algebra which is the dual of the previous Hopf algebra. It can be identified with the Hopf algebra

    Supergroup (physics)

    Supergroup_(physics)

  • Donaldson–Thomas theory
  • Theory in physics

    {E}})\end{aligned}}} Now because Y {\displaystyle Y} is Calabi–Yau, Serre duality implies Ext 2 ( E , E ) ≅ Ext 1 ( E , E ⊗ ω Y ) ∨ ≅ Ext 1 ( E , E ) ∨ {\displaystyle

    Donaldson–Thomas theory

    Donaldson–Thomas_theory

  • String cosmology
  • Branch of string theory

    case power-law inflation is possible. Veneziano, G. (1991). "Scale factor duality for classical and quantum strings". Physics Letters B. 265 (3–4): 287–294

    String cosmology

    String_cosmology

  • Mind–body dualism
  • Philosophical theory

    the position that man is made up of dual substances. Rather, Aquinas shows us that we can acknowledge a duality within substance itself, while maintaining

    Mind–body dualism

    Mind–body dualism

    Mind–body_dualism

  • Supergravity
  • Modern theory of gravitation that combines supersymmetry and general relativity

    N = (1, 0) 9d supergravity theories Maximal 9d supergravity from 10d T-duality N = 1 Gauged supergravity The supergravity theories that have attracted

    Supergravity

    Supergravity

    Supergravity

  • Superconformal algebra
  • Algebra combining both supersymmetry and conformal symmetry

    (2002). "Introduction to Rigid Supersymmetric Theories". Confinement, Duality, and Non-Perturbative Aspects of QCD. NATO Science Series: B. Vol. 368

    Superconformal algebra

    Superconformal_algebra

  • Wolfe duality
  • In mathematical optimization, Wolfe duality, named after Philip Wolfe, is type of dual problem in which the objective function and constraints are all

    Wolfe duality

    Wolfe_duality

  • Kaluza–Klein theory
  • Unified field theory

    4-velocity: U ν ≡ d x ν d τ , {\displaystyle U^{\nu }\equiv {\frac {dx^{\nu }}{d\tau }},} d U ν d τ + Γ ~ α β μ U α U β + 2 Γ ~ 5 α μ U α U 5 + Γ ~ 55 μ ( U 5 )

    Kaluza–Klein theory

    Kaluza–Klein theory

    Kaluza–Klein_theory

  • RNS formalism
  • Superstring quantization approach

    ground state | u ; k ⟩ R {\displaystyle |u;k\rangle _{\text{R}}} is a massless Majorana–Weyl fermion with polarization u s {\displaystyle u_{\boldsymbol

    RNS formalism

    RNS_formalism

  • Orbifold
  • Generalized manifold

    corresponding to intersections U i ⊃ U i ∩ U j ⊃ U i ∩ U j ∩ U k {\displaystyle U_{i}\supset U_{i}\cap U_{j}\supset U_{i}\cap U_{j}\cap U_{k}} there are charts

    Orbifold

    Orbifold

    Orbifold

  • Dual number
  • Real numbers adjoined with a nil-squaring element

    closing up the plane of dual numbers to a cylinder. Suppose D is the ring of dual numbers x + yε and U is the subset with x ≠ 0. Then U is the group of units

    Dual number

    Dual_number

  • AdS/QCD correspondence
  • Correspondence between anti-de Sitter space and quantum chromodynamics

    successfully accomplished) to describe quantum chromodynamics (QCD) in terms of a dual gravitational theory, following the principles of the AdS/CFT correspondence

    AdS/QCD correspondence

    AdS/QCD_correspondence

  • Wess–Zumino–Witten model
  • Type of 2D conformal field theory

    algebra of the S U ( 2 ) {\displaystyle SU(2)} WZW model, modular invariant torus partition functions obey an ADE classification, where the S U ( 2 ) {\displaystyle

    Wess–Zumino–Witten model

    Wess–Zumino–Witten_model

  • Bogomol'nyi–Prasad–Sommerfield bound
  • Lower energy limit in string theory

    non-perturbative behavior of these theories and are related to the concept of S-duality. Black Holes: In supergravity and string theory, extremal black holes can

    Bogomol'nyi–Prasad–Sommerfield bound

    Bogomol'nyi–Prasad–Sommerfield_bound

  • Non-critical string theory
  • Theory in physics

    Liouville gravity Kiritsis, Elias (26 Jan 2009). "Dissecting the string theory dual of QCD". Fortschritte der Physik. 57 (5–7): 369–417. arXiv:0901.1772. Bibcode:2009ForPh

    Non-critical string theory

    Non-critical_string_theory

  • Kalb–Ramond field
  • Two-form field

    Alejandro; García, J. Antonio (2007-02-10). "First-order Actions and Duality". International Journal of Modern Physics A. 22 (4): 851–867. arXiv:hep-th/0610022

    Kalb–Ramond field

    Kalb–Ramond_field

  • Hodge star operator
  • Exterior algebraic map taking tensors from p forms to n-p forms

    a sign – see § Duality below. This particular endomorphism property of 2-forms in four dimensions makes self-dual and anti-self-dual two-forms natural

    Hodge star operator

    Hodge_star_operator

  • Homological mirror symmetry
  • Mathematics concept

    explained SYZ conjecture in the context of Hitchin system and Langlands duality. The dimensions hp,q of spaces of harmonic (p,q)-differential forms (equivalently

    Homological mirror symmetry

    Homological mirror symmetry

    Homological_mirror_symmetry

  • String field theory
  • Formalism in string theory

    Gaiotto, Davide; Rastelli, Leonardo (2005-07-25). "A paradigm of open/closed duality Liouville D-branes and the Kontsevich model". Journal of High Energy Physics

    String field theory

    String_field_theory

  • Lie superalgebra
  • Algebraic structure used in theoretical physics

    s p ( m | 2 n ) = { X ∈ g l ( m | 2 n ) ∣ ⟨ X u , v ⟩ + ( − 1 ) | X | | u | ⟨ u , X v ⟩ = 0  for all  u , v ∈ C m | 2 n } . {\displaystyle {\mathfrak

    Lie superalgebra

    Lie_superalgebra

  • Spin(7)-manifold
  • Eight-dimensional Riemannian manifold

    that ι v ι u Φ ∧ ι v ι u Φ ∧ Φ = 6 | u ∧ v | 2 vol {\displaystyle \iota _{v}\iota _{u}\Phi \wedge \iota _{v}\iota _{u}\Phi \wedge \Phi =6|u\wedge v|^{2}\operatorname

    Spin(7)-manifold

    Spin(7)-manifold

  • Multiple citizenship
  • Citizenship in multiple countries held by the same person

    Telegraph. Retrieved January 30, 2021. Kannof, Abraham U. (January 2011). "Dueling Nationalities: Dual Citizenship, Dominant and Effective Nationality, and

    Multiple citizenship

    Multiple citizenship

    Multiple_citizenship

  • Twisted K-theory
  • Mathematical theory

    introducing a trivial P U ( H ) {\displaystyle PU({\mathcal {H}})} bundle P {\displaystyle P} over M {\displaystyle M} , where P U ( H ) {\displaystyle PU({\mathcal

    Twisted K-theory

    Twisted_K-theory

  • Anomaly (physics)
  • Asymmetry of classical and quantum action

    the triangle requires ∑ a l l   d o u b l e t s T r   T a T b Y ∝ δ a b ∑ a l l   d o u b l e t s Y = ∑ a l l   d o u b l e t s Q = 0   , {\displaystyle

    Anomaly (physics)

    Anomaly (physics)

    Anomaly_(physics)

  • Ramond–Ramond field
  • field is constrained to satisfy the self-duality condition G5 = *G5 where * is the Hodge star. The self-duality condition cannot be imposed by a Lagrangian

    Ramond–Ramond field

    Ramond–Ramond field

    Ramond–Ramond_field

  • F4 (mathematics)
  • 52-dimensional exceptional simple Lie group

    "The Exceptional Simple Lie Algebras F(4) and E(6)". Proc. Natl. Acad. Sci. U.S.A. 36 (2): 137–41. Bibcode:1950PNAS...36..137C. doi:10.1073/pnas.36.2.137

    F4 (mathematics)

    F4 (mathematics)

    F4_(mathematics)

  • ABJM superconformal field theory
  • Superconformal quantum field theory

    Bergman, Daniel Jafferis, and Juan Maldacena. It provides a holographic dual to M-theory on A d S 4 × S 7 {\displaystyle AdS_{4}\times S^{7}} . The ABJM

    ABJM superconformal field theory

    ABJM_superconformal_field_theory

  • M5-brane
  • Black brane solution in eleven-dimensional supergravity

    11-dimensional supergravity multiplet. The M5-brane is the electric-magnetic dual of the M2-brane. Upon compactification, the M5-brane becomes either the D4-brane

    M5-brane

    M5-brane

  • Conformal anomaly
  • Breakdown of conformal symmetry at the quantum level

    mechanism directly contributing only less than one percent via mostly the u quark, d quark and electron masses. Sidney Coleman and Erick Weinberg showed

    Conformal anomaly

    Conformal_anomaly

  • Generalized complex structure
  • Property of a differential manifold that includes complex structures

    structures are reductions of the structure group to U ( n ) × U ( n ) . {\displaystyle U(n)\times U(n).} Generalized Kähler manifolds, and their twisted

    Generalized complex structure

    Generalized_complex_structure

  • Moduli space
  • Geometric space whose points represent algebro-geometric objects of some fixed kind

    {O}}(d)))} with universal family given by U = { ( V ( f ) , f ) : f ∈ Γ ( O ( d ) ) } {\displaystyle {\mathcal {U}}=\{(V(f),f):f\in \Gamma ({\mathcal {O}}(d))\}}

    Moduli space

    Moduli_space

  • Dual system
  • Dual pair of vector spaces

    In mathematics, a dual system, dual pair or a duality over a field K {\displaystyle \mathbb {K} } is a triple ( X , Y , b ) {\displaystyle (X,Y,b)} consisting

    Dual system

    Dual_system

  • Orientifold
  • Concept in theoretical physics

    S2CID 15561489. A. Dabholkar (1998). "Lectures on orientifolds and duality". High Energy Physics and Cosmology. 14: 128. arXiv:hep-th/9804208. Bibcode:1998hepc

    Orientifold

    Orientifold

  • Kramers–Wannier duality
  • Symmetry in statistical physics

    expansion Z N ( K , L ) {\displaystyle Z_{N}(K,L)} described as duality (here Kramers-Wannier duality). With the help of the relations tanh ⁡ 2 x = 2 tanh ⁡ x

    Kramers–Wannier duality

    Kramers–Wannier_duality

  • GS formalism
  • Superstring quantization approach

    "Supersymmetrical Dual String Theory," Nucl. Phys. B181 (1981), 502–530. M. B. Green, J. H. Schwarz, J. H., "Supersymmetrical Dual String Theory (II):

    GS formalism

    GS_formalism

  • Hanany–Witten transition
  • Theoretical process

    when two M5-branes cross, one creates or destroys an M2-brane. Using S-duality one may obtain transitions without NS5-brane. For example, when a D5-brane

    Hanany–Witten transition

    Hanany–Witten_transition

  • Dualizing sheaf
  • Concept from algebraic geometry

    uses the dualizing sheaf on the ambient Pn to construct the dualizing sheaf on X. coherent duality reflexive sheaf Gorenstein ring Dualizing module Hartshorne

    Dualizing sheaf

    Dualizing_sheaf

  • Black brane
  • Generalization of a black hole to higher dimensions

    n-dimensional spacetime is: d s 2 = ( η a b + r s n − p − 3 r n − p − 3 u a u b ) d σ a d σ b + ( 1 − r s n − p − 3 r n − p − 3 ) − 1 d r 2 + r 2 d Ω

    Black brane

    Black_brane

  • 2
  • Natural number

    smallest and the only even prime number. Because it forms the basis of a duality, it has religious and spiritual significance in many cultures. The number

    2

    2

  • Seiberg duality
  • Renormalization group duality in supersymmetric gauge theories

    In quantum field theory, Seiberg duality, conjectured by Nathan Seiberg in 1994, is an S-duality relating two different supersymmetric QCDs. The two theories

    Seiberg duality

    Seiberg_duality

  • E6 (mathematics)
  • 78-dimensional exceptional simple Lie group

    the algebras of SO(10) × U(1) and SU(6) × SU(2). In addition to the 78-dimensional adjoint representation, there are two dual 27-dimensional "vector" representations

    E6 (mathematics)

    E6 (mathematics)

    E6_(mathematics)

  • Seiberg–Witten theory
  • Theory in supersymmetric gauge theory

    electric-magnetic duality (Seiberg & Witten 1994). Under a minimal assumption of assuming there are only three singularities in the moduli space at u = − 1 , +

    Seiberg–Witten theory

    Seiberg–Witten_theory

  • Cubic surface
  • Algebraic surface defined by a cubic polynomial

    naturally acts as the U-duality group. This map between del Pezzo surfaces and M-theory on tori is known as mysterious duality. The smooth complex cubic

    Cubic surface

    Cubic surface

    Cubic_surface

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Online names & meanings

  • BERNARD
  • Male

    French

    BERNARD

     Norman French form of Old High German Bernhard, BERNARD means "bold as a bear." Compare with another form of Bernard.

  • Shresth
  • Boy/Male

    Hindu

    Shresth

    The best, Ultimate, Another name for Vishnu, Foremost, First, Perfection, Best of all

  • NYAH
  • Female

    African

    NYAH

    intention, life purpose, mind.

  • Vanhi | வஂஹீ
  • Girl/Female

    Tamil

    Vanhi | வஂஹீ

    Fire

  • Deepjyothi | தீபஜ்யோதி
  • Girl/Female

    Tamil

    Deepjyothi | தீபஜ்யோதி

    Light of lamp

  • Dhairyashil
  • Boy/Male

    Hindu

    Dhairyashil

    Statue of courage and patience

  • Vency | வேந்ஸீ
  • Girl/Female

    Tamil

    Vency | வேந்ஸீ

  • Samjosh
  • Boy/Male

    Christian, Indian, Modern

    Samjosh

    Heard of God; Full of Happiness; The Son of Obedience

  • Orin
  • Boy/Male

    Celtic American Hebrew Gaelic

    Orin

    White.

  • Elveena
  • Girl/Female

    British, English, Hebrew

    Elveena

    Noble Friend

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U DUALITY

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U DUALITY

  • Tariff
  • n.

    A schedule, system, or scheme of duties imposed by the government of a country upon goods imported or exported; as, a revenue tariff; a protective tariff; Clay's compromise tariff. (U. S. 1833).

  • Bow
  • v. t.

    The U-shaped piece which embraces the neck of an ox and fastens it to the yoke.

  • Uzema
  • n.

    A Burman measure of twelve miles. V () V, the twenty-second letter of the English alphabet, is a vocal consonant. V and U are only varieties of the same character, U being the cursive form, while V is better adapted for engraving, as in stone. The two letters were formerly used indiscriminately, and till a comparatively recent date words containing them were often classed together in dictionaries and other books of reference (see U). The letter V is from the Latin alphabet, where it was used both as a consonant (about like English w) and as a vowel. The Latin derives it from it from a form (V) of the Greek vowel / (see Y), this Greek letter being either from the same Semitic letter as the digamma F (see F), or else added by the Greeks to the alphabet which they took from the Semitic. Etymologically v is most nearly related to u, w, f, b, p; as in vine, wine; avoirdupois, habit, have; safe, save; trover, troubadour, trope. See U, F, etc.

  • Nettle
  • n.

    A plant of the genus Urtica, covered with minute sharp hairs containing a poison that produces a stinging sensation. Urtica gracitis is common in the Northern, and U. chamaedryoides in the Southern, United States. the common European species, U. urens and U. dioica, are also found in the Eastern united States. U. pilulifera is the Roman nettle of England.

  • Almude
  • n.

    A measure for liquids in several countries. In Portugal the Lisbon almude is about 4.4, and the Oporto almude about 6.6, gallons U. S. measure. In Turkey the "almud" is about 1.4 gallons.

  • Labial
  • a.

    Modified, as a vowel, by contraction of the lip opening, as / (f/d), / (/ld), etc., and as eu and u in French, and o, u in German. See Guide to Pronunciation, // 11, 178.

  • Bullhead
  • n.

    A fresh-water fish of many species, of the genus Uranidea, esp. U. gobio of Europe, and U. Richardsoni of the United States; -- called also miller's thumb.

  • Elm
  • n.

    A tree of the genus Ulmus, of several species, much used as a shade tree, particularly in America. The English elm is Ulmus campestris; the common American or white elm is U. Americana; the slippery or red elm, U. fulva.

  • Hill
  • n.

    The earth raised about the roots of a plant or cluster of plants. [U. S.] See Hill, v. t.

  • Vedro
  • n.

    A Russian liquid measure, equal to 3.249 gallons of U. S. standard measure, or 2.706 imperial gallons.

  • Umlaut
  • n.

    The euphonic modification of a root vowel sound by the influence of a, u, or especially i, in the syllable which formerly followed.

  • Wagon-headed
  • a.

    Having a top, or head, shaped like the top of a covered wagon, or resembling in section or outline an inverted U, thus /; as, a wagonheaded ceiling.

  • Wagon-roofed
  • a.

    Having a roof, or top, shaped like an inverted U; wagon-headed.

  • Tzetze
  • n.

    Same as Tsetse. U () the twenty-first letter of the English alphabet, is a cursive form of the letter V, with which it was formerly used interchangeably, both letters being then used both as vowels and consonants. U and V are now, however, differentiated, U being used only as a vowel or semivowel, and V only as a consonant. The true primary vowel sound of U, in Anglo-Saxon, was the sound which it still retains in most of the languages of Europe, that of long oo, as in tool, and short oo, as in wood, answering to the French ou in tour. Etymologically U is most closely related to o, y (vowel), w, and v; as in two, duet, dyad, twice; top, tuft; sop, sup; auspice, aviary. See V, also O and Y.

  • Colonizationist
  • n.

    A friend to colonization, esp. (U. S. Hist) to the colonization of Africa by emigrants from the colored population of the United States.

  • Capper
  • n.

    A by-bidder; a decoy for gamblers [Slang, U. S.].

  • Supine
  • n.

    A verbal noun; or (according to C.F.Becker), a case of the infinitive mood ending in -um and -u, that in -um being sometimes called the former supine, and that in -u the latter supine.

  • Umbra
  • n.

    Any one of several species of sciaenoid food fishes of the genus Umbrina, especially the Mediterranean species (U. cirrhosa), which is highly esteemed as a market fish; -- called also ombre, and umbrine.

  • Horseshoe
  • n.

    A shoe for horses, consisting of a narrow plate of iron in form somewhat like the letter U, nailed to a horse's hoof.