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Ten-dimensional supergravity
In supersymmetry, type IIB supergravity is the unique supergravity in ten dimensions with two supercharges of the same chirality. It was first constructed
Type_IIB_supergravity
Aspect of theoretical physics
M-theory. Consequently the low energy type IIA supergravity theory can also be derived from the unique maximal supergravity theory in 11 dimensions (low energy
Type_II_string_theory
Ten-dimensional supergravity
reduction of eleven-dimensional supergravity on a circle. The other supergravities in ten dimensions are type IIB supergravity, which has two supercharges
Type_IIA_supergravity
Ten-dimensional supergravity
supersymmetry, type I supergravity is the theory of supergravity in ten dimensions with a single supercharge. It consists of a single supergravity multiplet
Type_I_supergravity
Topics referred to by the same term
the leading non-retail banks in Ireland Type II string theory (type IIB), described by type IIB supergravity in ten dimensions IBM Integration Bus, an
IIB
Modern theory of gravitation that combines supersymmetry and general relativity
In theoretical physics, supergravity (supergravity theory; SUGRA for short) is a modern field theory that combines the principles of supersymmetry and
Supergravity
Supergravity in eleven dimensions
In supersymmetry, eleven-dimensional supergravity is the theory of supergravity in the highest number of dimensions allowed for a supersymmetric theory
Eleven-dimensional supergravity
Eleven-dimensional_supergravity
4D N = 1 supergravity 4D N = 1 supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Eleven-dimensional supergravity Theories studied
List of quantum field theories
List_of_quantum_field_theories
Aspect of theoretical physics
the type I string theory. As first proposed by Augusto Sagnotti in 1988, the type I string theory can be obtained as an orientifold of type IIB string
Type_I_string_theory
Minimal supergravity in four dimensions
4D N = 1 {\displaystyle {\mathcal {N}}=1} supergravity describes the simplest four-dimensional supergravity, with a single supercharge and a supermultiplet
Pure_4D_N_=_1_supergravity
Branch of string theory
By doing so, 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
F-theory
Framework of superstring theory
approximated by one of the three supergravities in ten dimensions, known as type I, type IIA, and type IIB supergravity. Similarly, M-theory is approximated
M-theory
Compact astronomical body
main-sequence stars, where thermal pressure balances gravity. Instead, a type of quantum-mechanical pressure balances gravity at these temperatures and
Black_hole
General relativity in M-theory
Higher-dimensional supergravity is the supersymmetric generalization of general relativity in higher dimensions. Supergravity can be formulated in any
Higher-dimensional supergravity
Higher-dimensional_supergravity
Theory of supergravity in four dimensions
{\mathcal {N}}=1} supergravity is the theory of supergravity in four dimensions with a single supercharge. It contains exactly one supergravity multiplet, consisting
4D_N_=_1_supergravity
Process in particle physics
K-theory Supersymmetry Supergravity Eleven-dimensional supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Superspace Lie superalgebra
Tachyon_condensation
Theory of strings with supersymmetry
second superstring revolution, the five superstring theories (Type I, Type IIA, Type IIB, HO and HE) are regarded as different limits of a single theory
Superstring_theory
British supersymmetry scientist
collaborators, West was one of the first to construct both type IIA and type IIB supergravity. These theories combine supersymmetry with general relativity
Peter_West_(physicist)
Secondary characteristic classes of 3-manifolds
K-theory Supersymmetry Supergravity Eleven-dimensional supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Superspace Lie superalgebra
Chern–Simons_form
Type of Lie algebra of interest in physics
In mathematics, loop algebras are certain types of Lie algebras, of particular interest in theoretical physics. For a Lie algebra g {\displaystyle {\mathfrak
Loop_algebra
Lie algebra, usually infinite-dimensional
Killing of finite dimensional simple Lie algebras from the Cartan integers was type dependent. In 1966 Jean-Pierre Serre showed that relations of Claude Chevalley
Kac–Moody_algebra
Superconformal Yang–Mills theory
supercharges are preserved, giving N = 4 in the 4-dimensional theory. A Type IIB string theory interpretation of the theory is the worldvolume theory of
N = 4 supersymmetric Yang–Mills theory
N_=_4_supersymmetric_Yang–Mills_theory
Eight-dimensional Riemannian manifold
K-theory Supersymmetry Supergravity Eleven-dimensional supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Superspace Lie superalgebra
Spin(7)-manifold
Base space for supersymmetric theories
dimensional 11D supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Gauged supergravity Superpartners Axino Chargino Gaugino Goldstino Graviphoton
Superspace
Seven-dimensional Riemannian manifold
N=1 supersymmetry. The resulting low energy effective supergravity contains a single supergravity supermultiplet, a number of chiral supermultiplets equal
G2_manifold
Hypothetical elementary particle that mediates gravity
interacting strings. Dual graviton – Hypothetical particle found in supergravity Gravitino – Hypothetical superpartner to the graviton Gravitoelectromagnetism –
Graviton
Quantum mechanical model based on mathematical matrices
energy limit of this matrix model is described by eleven-dimensional supergravity. These calculations led them to propose that the BFSS matrix model is
Matrix_theory_(physics)
Extended physical object in string theory
the free dictionary. In string theory and related theories (such as supergravity), a brane is a physical object that generalizes the notion of a zero-dimensional
Brane
Set of equations that describe superstring theory in a non-perturbative framework
Verlinde, and Herman Verlinde. Another matrix string theory equivalent to Type IIB string theory was constructed in 1996 by Ishibashi, Kawai, Kitazawa and
Matrix_string_theory
Theory of subatomic structure
theory: type I, type IIA, type IIB, and two flavors of heterotic string theory (SO(32) and E8×E8). The different theories allow different types of strings
String_theory
Symmetry between bosons and fermions
is included automatically, and the result is said to be a theory of supergravity. Another theoretically appealing property of supersymmetry is that it
Supersymmetry
Peruvian theoretical physicist (b. 1954)
K-theory Supersymmetry Supergravity Eleven-dimensional supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Superspace Lie superalgebra
Barton_Zwiebach
No-go theorem pertaining the triviality of space-time and internal symmetries
a subgroup, Below any mass, there are only a finite number of particle types, Any two-particle state undergoes some reaction at almost all energies,
Coleman–Mandula_theorem
Theories in particle physics and cosmology
"Towards a naturally small cosmological constant from branes in 6-D supergravity". Nucl. Phys. B. 680 (1–3): 389–414. arXiv:hep-th/0304256. Bibcode:2004NuPhB
Brane_cosmology
Representation of the supersymmetry algebra
a maximal gravity multiplet does contain scalars. A hypermultiplet is a type of representation of an extended supersymmetry algebra, in particular the
Supermultiplet
Riemannian manifold with SU(n) holonomy
in a compactification of type IIA supergravity or 2 5 − n {\displaystyle 2^{5-n}} supercharges in a compactification of type I. When fluxes are included
Calabi–Yau_manifold
Hypothetical faster-than-light particle
particle types are called luxons (which always move at the speed of light) and bradyons (which always move slower than light); both of these particle types are
Tachyon
Principle in theoretical physics
of type IIA string theory. The matrix theory they proposed was first suggested as a description of two branes in eleven-dimensional supergravity by Bernard
Holographic_principle
Type of smooth complex surface of kodaira dimension 0
simple enough to analyze most of their properties in detail. The type IIA string, the type IIB string, the E8×E8 heterotic string, the Spin(32)/Z2 heterotic
K3_surface
Algebraic structure used in theoretical physics
dimensional 11D supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Gauged supergravity Superpartners Axino Chargino Gaugino Goldstino Graviphoton
Supergroup_(physics)
26-dimensional string theory
K-theory Supersymmetry Supergravity Eleven-dimensional supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Superspace Lie superalgebra
Bosonic_string_theory
Invariant action in bosonic string theory
K-theory Supersymmetry Supergravity Eleven-dimensional supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Superspace Lie superalgebra
Nambu–Goto_action
Type of geometry in mathematics
Einstein tensor is zero. Ricci-flat manifolds are one of three special types of Einstein manifold, arising as the special case of scalar curvature equaling
Ricci-flat_manifold
Algebraic structure used in theoretical physics
{\widetilde {S}}(2n)} and H ( n ) {\displaystyle H(n)} . For the Cartan type of simple Lie superalgebras, the odd part is no longer completely reducible
Lie_superalgebra
Type of Riemannian manifold
4-form Ω {\displaystyle \Omega } . Bonan's later results include a Lefschetz-type result: wedging with this powers of this 4-form induces isomorphisms Ω n
Hyperkähler_manifold
Asymmetry of classical and quantum action
the symmetry. Vector gauge anomalies are always chiral anomalies. Another type of gauge anomaly is the gravitational anomaly. Quantum anomalies were discovered
Anomaly_(physics)
Gauge theory with supersymmetry
gauge theory is a field theory with gauge symmetry. Roughly, there are two types of symmetries, global and local. A global symmetry is a symmetry applied
Supersymmetric_gauge_theory
248-dimensional exceptional simple Lie group
groups that 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)
E8_(mathematics)
Graded vector space with applications to theoretical physics
dimensional 11D supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Gauged supergravity Superpartners Axino Chargino Gaugino Goldstino Graviphoton
Super_vector_space
Equivalence of two physical theories
observation that type IIA and E8×E8 heterotic string theories are closely related to a gravitational theory called eleven-dimensional supergravity. His announcement
S-duality
Generalization of a manifold
on the shrinking three-sphere in Type IIB string theory and by D2-branes wrapped on the shrinking two-sphere in Type IIA string theory, as originally
Conifold
Two-form field
K-theory Supersymmetry Supergravity Eleven-dimensional supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Superspace Lie superalgebra
Kalb–Ramond_field
Diagrams describing the matter content
K-theory Supersymmetry Supergravity Eleven-dimensional supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Superspace Lie superalgebra
Quiver_diagram
Candidate "Theory of Everything"
K-theory Supersymmetry Supergravity Eleven-dimensional supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Superspace Lie superalgebra
Introduction_to_M-theory
78-dimensional exceptional simple Lie group
where p is prime). N = 8 supergravity in five dimensions, which is a dimensional reduction from eleven-dimensional supergravity, admits an E6 bosonic global
E6_(mathematics)
52-dimensional exceptional simple Lie group
K-theory Supersymmetry Supergravity Eleven-dimensional supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Superspace Lie superalgebra
F4_(mathematics)
Class of quantum field theory models
K-theory Supersymmetry Supergravity Eleven-dimensional supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Superspace Lie superalgebra
Non-linear_sigma_model
Physics concept of subatomic structure
only two anomaly-free gauge groups that can be coupled to the N = 1 supergravity in 10 dimensions. (Although not realized for quite some time, U(1)496
Heterotic_string_theory
Extended objects found in string theory
1995, Polchinski identified D-branes with black p-brane solutions of supergravity, a discovery that triggered the second superstring revolution and led
D-brane
In physics and geometry: conjectured relation between pairs of Calabi–Yau manifolds
Instead, two different versions of string theory called type IIA string theory and type IIB can be compactified on completely different Calabi–Yau manifolds
Mirror symmetry (string theory)
Mirror_symmetry_(string_theory)
Hypothetical particle
K. (2003). "Dilatonic inflation and SUSY breaking in string-inspired supergravity". Modern Physics Letters A. 18 (39): 2785–2793. arXiv:hep-ph/0303029
Dilaton
Theory in supersymmetric gauge theory
background of four dimensional N = 2 {\displaystyle {\mathcal {N}}=2} supergravity. It can be engineered, formally by lifting the super Yang–Mills theory
Seiberg–Witten_theory
Supersymmetric generalization of Yang–Mills
due to an anomaly. Matter can be added in the form of Wess–Zumino model type superfields Φ {\displaystyle \Phi } . Under a gauge transformation, Φ ↦ exp
N = 1 supersymmetric Yang–Mills theory
N_=_1_supersymmetric_Yang–Mills_theory
Lower energy limit in string theory
theories and are related to the concept of S-duality. Black Holes: In supergravity and string theory, extremal black holes can be BPS states. Their mass
Bogomol'nyi–Prasad–Sommerfield bound
Bogomol'nyi–Prasad–Sommerfield_bound
Collection of possible string theory vacua
K-theory Supersymmetry Supergravity Eleven-dimensional supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Superspace Lie superalgebra
String_theory_landscape
Algebra combining both supersymmetry and conformal symmetry
dimensional 11D supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Gauged supergravity Superpartners Axino Chargino Gaugino Goldstino Graviphoton
Superconformal_algebra
Breakdown of conformal symmetry at the quantum level
K-theory Supersymmetry Supergravity Eleven-dimensional supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Superspace Lie superalgebra
Conformal_anomaly
Superconformal quantum field theory
dimensional 11D supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Gauged supergravity Superpartners Axino Chargino Gaugino Goldstino Graviphoton
ABJM superconformal field theory
ABJM_superconformal_field_theory
American theoretical physicist
quantum gravity. His work with Michael Green on anomaly cancellation in Type I string theories led to the so-called "first superstring revolution" of
John_Henry_Schwarz
Differential geometry of supermanifolds
theories involving odd fields, e.g., SUSY field theory, BRST theory, or supergravity. Supergeometry is formulated in terms of Z 2 {\displaystyle \mathbb {Z}
Supergeometry
ten-dimensional superstring theories and gave them the names Type I, Type IIA, and Type IIB). Nahm, W. (1978-03-27). "Supersymmetries and their representations"
History_of_string_theory
Unobservable spacetime curves needed to describe Dirac monopoles
K-theory Supersymmetry Supergravity Eleven-dimensional supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Superspace Lie superalgebra
Dirac_string
K-theory Supersymmetry Supergravity Eleven-dimensional supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Superspace Lie superalgebra
S-brane
Strong-weak duality in supersymmetric theories of theoretical physics
{SO} (8)} , E 7 {\displaystyle E_{7}} and E 11 {\displaystyle E_{11}} supergravity. A massive spin-2 dual gravity, to lowest order, in D = 4 and N − D is
Montonen–Olive_duality
2D conformal field theory used in string theory
K-theory Supersymmetry Supergravity Eleven-dimensional supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Superspace Lie superalgebra
Polyakov_action
Mathematical concept
line concept for a point particle in special and general relativity. The type of string, the geometry of the spacetime in which it propagates, and the
Worldsheet
Algebraic structure used in theoretical physics
dimensional 11D supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Gauged supergravity Superpartners Axino Chargino Gaugino Goldstino Graviphoton
Superalgebra
K-theory Supersymmetry Supergravity Eleven-dimensional supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Superspace Lie superalgebra
N_=_2_superstring
superconformal algebra Bagger, Jonathan; Wess, Julius (1992), Supersymmetry and supergravity, Princeton Series in Physics (2nd ed.), Princeton University Press, ISBN 0-691-02530-4
Supersymmetry_algebra
Duality between theories of gravity on anti-de Sitter space and conformal field theories
relation between N = 4 supersymmetric Yang–Mills theory in 3+1 dimensions and type IIB superstring theory on AdS5 × S5. Current understanding of gravity is based
AdS/CFT_correspondence
Unified field theory
Oskar Klein. It is not supported by experiments, but is a precursor to supergravity and modern string theory (in eleven-dimensional spacetime). In his 1921
Kaluza–Klein_theory
Solitons in Euclidean spacetime
that absolutely minimize the energy functional within their topological type. The first such solutions were discovered in the case of four-dimensional
Instanton
Superstring quantization approach
K-theory Supersymmetry Supergravity Eleven-dimensional supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Superspace Lie superalgebra
GS_formalism
Four dimensional supergravity theory
considered such as N = 2. N = 8 supergravity can be viewed as the low-energy approximation of the type IIA or type IIB superstring with 6 of its dimensions
N_=_8_supergravity
Generalization of a black hole to higher dimensions
extended—and translationally symmetric—in p additional spatial dimensions. That type of solution would be called a black p-brane. In string theory, the term black
Black_brane
Mathematical theory
D-branes, Ramond-Ramond field strengths and in some cases even spinors in type II string theory. For more information on twisted K-theory in string theory
Twisted_K-theory
Geometric space whose points represent algebro-geometric objects of some fixed kind
out of the minimal model program, moduli spaces of varieties of general type were constructed by János Kollár and Nicholas Shepherd-Barron, now known
Moduli_space
Generalization of electrodynamics
are D-branes are examples for all values of p. In eleven-dimensional supergravity or M-theory, we have a 3-form electrodynamics. Just as we have non-abelian
P-form_electrodynamics
Quantum mechanics with supersymmetry
dimensional 11D supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Gauged supergravity Superpartners Axino Chargino Gaugino Goldstino Graviphoton
Supersymmetric quantum mechanics
Supersymmetric_quantum_mechanics
Type of supersymmetric quantum field theory
dimensional 11D supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Gauged supergravity Superpartners Axino Chargino Gaugino Goldstino Graviphoton
Wess–Zumino_model
Conjectured duality combining S-duality and T-duality
K-theory Supersymmetry Supergravity Eleven-dimensional supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Superspace Lie superalgebra
U-duality
Algebra used in 2D conformal field theories and string theory
central elements can be identified with invariant inner products on the finite type Lie algebra g {\displaystyle {\mathfrak {g}}} , one typically normalizes
Vertex_operator_algebra
133-dimensional exceptional simple Lie group
where p is prime). N = 8 supergravity in four dimensions, which is a dimensional reduction from eleven-dimensional supergravity, admit an E7 bosonic global
E7_(mathematics)
Generalized manifold
theory and the duality between different models of string theory (type IIA and IIB) led to the idea of mirror symmetry in 1988. The role of orbifolds
Orbifold
Theorem in theoretical physics
symmetries since these are not symmetries at the level of the S-matrix. Supergravity S-matrix Haag, R.; Łopuszański, J.T.; Sohnius, M. (1975). "All possible
Haag–Łopuszański–Sohnius theorem
Haag–Łopuszański–Sohnius_theorem
Predicted field theory in physics
dimensional 11D supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Gauged supergravity Superpartners Axino Chargino Gaugino Goldstino Graviphoton
6D (2,0) superconformal field theory
6D_(2,0)_superconformal_field_theory
Property of a differential manifold that includes complex structures
case one uses the complex dimension and the type is sometimes referred to as the complex type. While the type of a subbundle can in principle be any integer
Generalized_complex_structure
Manifold with Riemannian, complex and symplectic structure
symmetric spaces of compact type, such as Grassmannians. The natural Kähler metric on a Hermitian symmetric space of compact type has nonnegative sectional
Kähler_manifold
Equivalence of two physical theories
fact that type IIA and E8×E8 heterotic string theories are closely related to a gravitational theory called eleven-dimensional supergravity. His announcement
T-duality
Simple Lie group; the automorphism group of the octonions
groups of type G2 in fields of even characteristic. Ree, Rimhak (1960), "A family of simple groups associated with the simple Lie algebra of type (G2)",
G2_(mathematics)
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TYPE IIB-SUPERGRAVITY
TYPE IIB-SUPERGRAVITY
TYPE IIB-SUPERGRAVITY
TYPE IIB-SUPERGRAVITY
TYPE IIB-SUPERGRAVITY
TYPE IIB-SUPERGRAVITY
TYPE IIB-SUPERGRAVITY
TYPE IIB-SUPERGRAVITY
TYPE IIB-SUPERGRAVITY
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