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INSTANTON

  • Instanton
  • Solitons in Euclidean spacetime

    An instanton (or pseudoparticle) is a notion appearing in theoretical and mathematical physics. An instanton is a classical solution to equations of motion

    Instanton

    Instanton

    Instanton

  • Instanton fluid
  • Non-perturbative path integral approximation

    In quantum field theory, the instanton fluid model is a model of Wick rotated Euclidean quantum chromodynamics. If we examine the path integral of the

    Instanton fluid

    Instanton_fluid

  • Meron (physics)
  • Half-instanton solution of Yang–Mills theory

    A meron or half-instanton is a Euclidean space-time solution of the Yang–Mills field equations. It is a singular non-self-dual solution of topological

    Meron (physics)

    Meron_(physics)

  • BPST instanton
  • Type of Yang–Mills instanton

    In theoretical physics, the BPST instanton is the instanton with winding number 1 found by Alexander Belavin, Alexander Polyakov, Albert Schwarz and Yu

    BPST instanton

    BPST instanton

    BPST_instanton

  • Gravitational instanton
  • Four-dimensional complete Riemannian manifold satisfying the vacuum Einstein equations

    In mathematical physics and differential geometry, a gravitational instanton is a four-dimensional complete Riemannian manifold satisfying the vacuum

    Gravitational instanton

    Gravitational_instanton

  • Periodic instantons
  • Finite energy solutions in Euclidean spacetime

    In quantum field theory, periodic instantons are finite energy solutions of Euclidean-time field equations which communicate (in the sense of quantum tunneling)

    Periodic instantons

    Periodic_instantons

  • Yang–Mills equations
  • Partial differential equations whose solutions are instantons

    settings, the self-dual or anti-self-dual finite-action solutions are called instantons. The Yang–Mills moduli space was used by Simon Donaldson to prove Donaldson's

    Yang–Mills equations

    Yang–Mills equations

    Yang–Mills_equations

  • QCD vacuum
  • Lowest energy state in quantum chromodynamics

    BPST-like instantons. Although only the solutions with one or few instantons (or anti-instantons) are known exactly, a dilute gas of instantons and anti-instantons

    QCD vacuum

    QCD_vacuum

  • Gibbons–Hawking ansatz
  • Method in general relativity

    the Gibbons–Hawking ansatz is a method of constructing gravitational instantons introduced by Gary Gibbons and Stephen Hawking (1978, 1979). It gives

    Gibbons–Hawking ansatz

    Gibbons–Hawking_ansatz

  • Double-well potential
  • Quartic potential in quantum mechanics

    double-well potential serves as a model to illustrate the concept of instantons as a pseudo-classical configuration in a Euclidean field theory. In the

    Double-well potential

    Double-well potential

    Double-well_potential

  • Donaldson theory
  • Study in mathematical gauge theory

    topology of smooth 4-manifolds using moduli spaces of anti-self-dual instantons. It was started by Simon Donaldson (1983) who proved Donaldson's theorem

    Donaldson theory

    Donaldson_theory

  • Gauge theory (mathematics)
  • Study of vector bundles, principal bundles, and fibre bundles

    equations of motion for a classical field theory, particles known as instantons. Gauge theory has found uses in constructing new invariants of smooth

    Gauge theory (mathematics)

    Gauge_theory_(mathematics)

  • Floer homology
  • Symplectic topology tool

    a symplectic manifold with the symplectic action functional. For the (instanton) version for three-manifolds, it is the space of SU(2)-connections on

    Floer homology

    Floer homology

    Floer_homology

  • ADHM construction
  • Method of constructing instanton solutions

    the ADHM construction or monad construction is the construction of all instantons using methods of linear algebra by Michael Atiyah, Vladimir Drinfeld,

    ADHM construction

    ADHM_construction

  • Sphaleron
  • Solution to field equations in Standard Model particle physics

    either tunnel through the barrier (in which case the transition is an instanton-like process) or must for a reasonable period of time be brought up to

    Sphaleron

    Sphaleron

    Sphaleron

  • Seiberg–Witten theory
  • Theory in supersymmetric gauge theory

    perturbative loop calculation and the second is the instanton part where k {\displaystyle k} labels fixed instanton numbers. In theories whose gauge groups are

    Seiberg–Witten theory

    Seiberg–Witten_theory

  • List of particles
  • List of particles in matter including fermions and bosons

    experiment. There are also instantons, field configurations which are a local minimum of the Yang–Mills field equation. Instantons are used in nonperturbative

    List of particles

    List_of_particles

  • Neil Turok
  • South African theoretical physicist

    With Stephen Hawking, he later developed the so-called Hawking-Turok instanton solutions which, according to the no-boundary proposal of Hawking and

    Neil Turok

    Neil Turok

    Neil_Turok

  • Black hole
  • Compact astronomical body

    algebra Kac–Moody algebra Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie

    Black hole

    Black hole

    Black_hole

  • Bubble of nothing
  • Mathematical instability in string theory

    can spontaneously collapse through the nucleation of a gravitational instanton. This bubble of nothing has no interior, not even spacetime. Bubbles of

    Bubble of nothing

    Bubble_of_nothing

  • Chiral anomaly
  • Non-conservation of chiral current in physics

    non-trivial homotopy group, or, in physics terminology, in terms of instantons. Instantons are a form of topological soliton; they are a solution to the classical

    Chiral anomaly

    Chiral_anomaly

  • Yang–Mills theory
  • Quantum field theory

    The dx1⊗σ3 coefficient of a BPST instanton on the (x1,x2)-slice of ℝ4 where σ3 is the third Pauli matrix (top left). The dx2⊗σ3 coefficient (top right)

    Yang–Mills theory

    Yang–Mills theory

    Yang–Mills_theory

  • Journal of Nonlinear Mathematical Physics
  • Academic journal

    algebras and integrability; non-commutative geometry; spectral theory; and instanton, monopoles and gauge theory. The journal is abstracted and indexed by:

    Journal of Nonlinear Mathematical Physics

    Journal_of_Nonlinear_Mathematical_Physics

  • Andreas Floer
  • German mathematician

    symplectomorphism. Because of his work on Arnold's conjecture and his development of instanton homology, he achieved wide recognition and was invited as a plenary speaker

    Andreas Floer

    Andreas Floer

    Andreas_Floer

  • Gerard 't Hooft
  • Dutch theoretical physicist

    formula for the masses of mesons. He also studied the role of so-called instanton contributions in QCD. His calculations showed that these contributions

    Gerard 't Hooft

    Gerard 't Hooft

    Gerard_'t_Hooft

  • Caloron
  • Finite temperature instanton

    caloron is the finite temperature generalization of an instanton. At zero temperature, instantons are the name given to solutions of the classical equations

    Caloron

    Caloron

  • Theta vacuum
  • Yang–Mills theory vacuum state

    equations of motion called instantons. They are responsible for tunnelling between different topological vacua with an instanton with winding number ν {\displaystyle

    Theta vacuum

    Theta_vacuum

  • 't Hooft symbol
  • Mathematical symbol used in algebras

    in order to compute the properties of a dilute gas of instantons, specifically BPST instantons. It is a collection of numbers which allows one to express

    't Hooft symbol

    't_Hooft_symbol

  • Non-perturbative
  • Functions that can't be described by perturbation theory

    field theory, 't Hooft–Polyakov monopoles, domain walls, flux tubes, and instantons are examples. A concrete, physical example is given by the Schwinger effect

    Non-perturbative

    Non-perturbative

    Non-perturbative

  • Peter B. Kronheimer
  • British mathematician (born 1963)

    Torelli-type theorem for gravitational instantons." He and Hiraku Nakajima gave a construction of instantons on ALE spaces generalizing the

    Peter B. Kronheimer

    Peter_B._Kronheimer

  • Virasoro conformal block
  • Special functions used to build correlation functions in 2D CFTs

    [hep-th]. Nekrasov, Nikita (2004). "Seiberg-Witten Prepotential from Instanton Counting". Advances in Theoretical and Mathematical Physics. 7 (5): 831–864

    Virasoro conformal block

    Virasoro_conformal_block

  • Holographic principle
  • Principle in theoretical physics

    algebra Kac–Moody algebra Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie

    Holographic principle

    Holographic_principle

  • Peter Braam
  • Dutch-American computer scientist

    human wellbeing. Braam, P. J.; Donaldson, S. K. (1995). "Floer's work on instanton homology, knots and surgery". The Floer Memorial Volume. Birkhäuser Basel

    Peter Braam

    Peter_Braam

  • Yang–Mills moduli space
  • Moduli space of the Yang–Mills equations

    gauge theory, the Yang–Mills moduli space (short YM moduli space, also instanton moduli space) is the moduli space of the Yang–Mills equations, hence the

    Yang–Mills moduli space

    Yang–Mills_moduli_space

  • Michael Atiyah
  • British-Lebanese mathematician (1929–2019)

    his more recent work was inspired by theoretical physics, in particular instantons and monopoles, which are responsible for some corrections in quantum field

    Michael Atiyah

    Michael Atiyah

    Michael_Atiyah

  • Einstein manifold
  • Riemannian manifold which satisfies vacuum Einstein equations

    Einstein manifolds in four Euclidean dimensions are studied as gravitational instantons. If M {\displaystyle M} is the underlying n {\displaystyle n} -dimensional

    Einstein manifold

    Einstein_manifold

  • Curtis Callan
  • American physicist

    University. He has conducted research in gauge theory, string theory, instantons, black holes, strong interactions, and many other topics. He was awarded

    Curtis Callan

    Curtis Callan

    Curtis_Callan

  • Brane cosmology
  • Theories in particle physics and cosmology

    algebra Kac–Moody algebra Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie

    Brane cosmology

    Brane cosmology

    Brane_cosmology

  • String theory landscape
  • Collection of possible string theory vacua

    algebra Kac–Moody algebra Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie

    String theory landscape

    String_theory_landscape

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

    forementioned cycle and then disappears. MMS refer to this process as an instanton, although really it need not be instantonic. The conserved charges are

    K-theory (physics)

    K-theory_(physics)

  • Quantum geometry
  • Set of mathematical concepts in quantum gravity

    includes quantum corrections to the metric tensor, such as the worldsheet instantons. For example, the quantum volume of a cycle is computed from the mass

    Quantum geometry

    Quantum_geometry

  • Donaldson invariant
  • {\mathcal {M}}_{k+1}=\dim {\mathcal {M}}_{k}+8} holds under a change of the instanton number, expanding the input of the Donaldson invariant by four new second

    Donaldson invariant

    Donaldson_invariant

  • Renormalon
  • Divergence in perturbative quantum field theory

    singularity arising in this complex Borel plane, and is a counterpart of an instanton singularity. Associated with such singularities, renormalon contributions

    Renormalon

    Renormalon

  • Hartshorne ellipse
  • showed that they correspond to k = 2 instantons on S4. Hartshorne, Robin (1978), "Stable vector bundles and instantons", Communications in Mathematical Physics

    Hartshorne ellipse

    Hartshorne_ellipse

  • Giancarlo Rossi
  • Italian physicist

    correspondence, showing quantitative agreement between instantons in N=4 supersymmetric field theory and D-instantons in type IIB supergravity on AdS5×S5. The derivation

    Giancarlo Rossi

    Giancarlo Rossi

    Giancarlo_Rossi

  • Tachyon
  • Hypothetical faster-than-light particle

    algebra Kac–Moody algebra Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie

    Tachyon

    Tachyon

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

    algebra Kac–Moody algebra Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie

    AdS/CFT correspondence

    AdS/CFT_correspondence

  • Monstrous moonshine
  • Monster and modular connection

    suggesting a connection with generalized moonshine and gravitational instanton sums. At present, all of these ideas are still rather speculative, in

    Monstrous moonshine

    Monstrous moonshine

    Monstrous_moonshine

  • Hiraku Nakajima
  • Japanese mathematician

    Math. 97 (1989), no. 2, 313–349. doi:10.1007/BF01389045 Hiraku Nakajima. Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras. Duke Math. J

    Hiraku Nakajima

    Hiraku_Nakajima

  • Hyperkähler manifold
  • Type of Riemannian manifold

    asymptotic behaviors, are studied in physics under the name gravitational instantons. The Gibbons–Hawking ansatz gives examples invariant under a circle action

    Hyperkähler manifold

    Hyperkähler_manifold

  • Topological defect
  • Topologically stable solution of a partial differential equation

    mapping S 3 → S U ( 2 ) {\displaystyle S^{3}\to SU(2)} . In the 1980's, the instanton and related solutions of the Wess–Zumino–Witten models, rose to considerable

    Topological defect

    Topological_defect

  • 3D mirror symmetry
  • Equivalence in 3D quantum field theory

    theory is the duality between squarks and vortices. In this theory, the instantons are 't Hooft–Polyakov magnetic monopoles whose actions are proportional

    3D mirror symmetry

    3D_mirror_symmetry

  • David Tong (physicist)
  • British theoretical physicist

    December 2019. Hanany, Amihay; Tong, David; Tong (17 June 2003). "Vortices, Instantons and Branes". Journal of High Energy Physics. 0307 (7): 037. arXiv:hep-th/0306150

    David Tong (physicist)

    David_Tong_(physicist)

  • Tachyon condensation
  • Process in particle physics

    algebra Kac–Moody algebra Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie

    Tachyon condensation

    Tachyon_condensation

  • Michael Green (physicist)
  • British physicist

    conditions in string theory which have led to the postulation of D-branes and instantons. Green has been awarded the Paul Dirac and Maxwell Medals of the Institute

    Michael Green (physicist)

    Michael_Green_(physicist)

  • Albert Schwarz
  • Soviet and American mathematician (born 1934)

    Comm. Math. Phys. 135 (1990), no. 1, 91–100. ADHM construction BPST instanton Instanton Chern–Simons theory Schwarz-type TQFTs Švarc–Milnor lemma Supermanifold

    Albert Schwarz

    Albert_Schwarz

  • Alexander Polyakov (physicist)
  • Russian theoretical physicist

    Gerard 't Hooft. Polyakov and coauthors discovered the so-called BPST instanton which, in turn, led to the discovery of the vacuum angle in QCD. His path

    Alexander Polyakov (physicist)

    Alexander Polyakov (physicist)

    Alexander_Polyakov_(physicist)

  • Dirac sea
  • Theoretical model of the vacuum

    it is filled. This happens when we have a chiral anomaly and a gauge instanton. The development of quantum field theory (QFT) in the 1930s made it possible

    Dirac sea

    Dirac sea

    Dirac_sea

  • Gravitational anomaly
  • Breakdown of general covariance at the quantum level

    trace is non-zero. Mixed anomaly Green–Schwarz mechanism Gravitational instanton Luis Álvarez-Gaumé; Edward Witten (1984). "Gravitational Anomalies". Nucl

    Gravitational anomaly

    Gravitational anomaly

    Gravitational_anomaly

  • Hermitian Yang–Mills connection
  • are special examples of Yang–Mills connections, and are often called instantons. The Kobayashi–Hitchin correspondence proved by Donaldson, Uhlenbeck and

    Hermitian Yang–Mills connection

    Hermitian_Yang–Mills_connection

  • Gauge theory
  • Physical theory with fields invariant under the action of local "gauge" Lie groups

    class of mappings from that manifold to the Lie group is nontrivial. See instanton for an example. The Yang–Mills action is now given by 1 4 g 2 ∫ Tr ⁡ [

    Gauge theory

    Gauge theory

    Gauge_theory

  • Tsung-Dao Lee
  • Chinese-American physicist (1926–2024)

    the long-standing quantum degenerate double-wall potential and other instanton problems. They also did work on the neutrino mapping matrix. Lee was one

    Tsung-Dao Lee

    Tsung-Dao Lee

    Tsung-Dao_Lee

  • Mass–energy equivalence
  • Physics concept expressed as E = mc²

    protons and neutrons to antielectrons and neutrinos. This is the weak SU(2) instanton proposed by the physicists Alexander Belavin, Alexander Markovich Polyakov

    Mass–energy equivalence

    Mass–energy equivalence

    Mass–energy_equivalence

  • False vacuum
  • Hypothetical vacuum, less stable than true vacuum

    forms through a process known as bubble nucleation. In this process, instanton effects cause a bubble containing the true vacuum to appear. The walls

    False vacuum

    False vacuum

    False_vacuum

  • Nikita Nekrasov
  • Russian mathematical and theoretical physicist

    which he introduced in his 2002 paper, relates in an intricate way the instantons in gauge theory, integrable systems, and representation theory of infinite-dimensional

    Nikita Nekrasov

    Nikita_Nekrasov

  • Magnetic monopole
  • Hypothetical particle with one magnetic pole

    law for magnetism Ginzburg–Landau theory Halbach array Horizon problem Instanton Magnetic monopole problem Meron Soliton 't Hooft–Polyakov monopole Wu–Yang

    Magnetic monopole

    Magnetic monopole

    Magnetic_monopole

  • William A. Bardeen
  • American theoretical physicist (1941–2025)

    mesons, and topological effects in Yang-Mills gauge theories, such as the instanton physics in QCD. With Bruno Zumino, Bardeen formulated the theory of the

    William A. Bardeen

    William A. Bardeen

    William_A._Bardeen

  • Mikhail Shifman
  • American physicist

    "Exact Gell-Mann-Low function of supersymmetric Yang-Mills theories from instanton calculus". Nuclear Physics B. 229 (2): 381. Bibcode:1983NuPhB.229..381N

    Mikhail Shifman

    Mikhail Shifman

    Mikhail_Shifman

  • Quantum Hall transitions
  • Phase transitions in the Hall effect

    transitions can then be understood by looking at the topological excitations (instantons) that occur between those phases. Just after the first measurements on

    Quantum Hall transitions

    Quantum_Hall_transitions

  • Principal U(1)-bundle
  • Special type of principal bundle

    − 2 {\displaystyle -2} . Principal SU(2)-bundle Freed, Daniel (1991). Instantons and 4-Manifolds. Cambridge University Press. ISBN 978-1-4613-9705-2. Hatcher

    Principal U(1)-bundle

    Principal U(1)-bundle

    Principal_U(1)-bundle

  • Nuts and bolts (general relativity)
  • Spacetime classification scheme in general relativity

    in the analysis of gravitational instantons. Gibbons, G. W.; Hawking, S. W., Classification of gravitational instanton symmetries. Comm. Math. Phys. 66

    Nuts and bolts (general relativity)

    Nuts_and_bolts_(general_relativity)

  • Monopole
  • Topics referred to by the same term

    north and south pole Dyon, a particle with electric and magnetic charge Instanton, a class of field solutions that includes monopoles Monomial, a polynomial

    Monopole

    Monopole

  • William Hughes Miller
  • American theoretical chemist

    theory of electronically non-adiabatic processes and a semiclassical "instanton" theory of deep quantum tunnelling. For more complex molecular systems

    William Hughes Miller

    William Hughes Miller

    William_Hughes_Miller

  • M-theory
  • Framework of superstring theory

    1016/0550-3213(78)90218-3. Nekrasov, Nikita; Schwarz, Albert (1998). "Instantons on noncommutative R4 and (2,0) superconformal six dimensional theory"

    M-theory

    M-theory

  • Andrew J. Hanson
  • American theoretical physicist and computer scientist

    gravitational instanton. This Einstein metric is asymptotically locally Euclidean and self-dual, closely parallel to the Yang-Mills instanton. He is also

    Andrew J. Hanson

    Andrew J. Hanson

    Andrew_J._Hanson

  • Geometric invariant theory
  • Concept in algebraic geometry

    construct moduli spaces of objects in differential geometry, such as instantons and monopoles. Invariant theory is concerned with a group action of a

    Geometric invariant theory

    Geometric_invariant_theory

  • Quantum field theory
  • Theoretical framework in physics

    Alexander Polyakov, flux tubes by Holger Bech Nielsen and Poul Olesen, and instantons by Polyakov and coauthors. These objects are inaccessible through perturbation

    Quantum field theory

    Quantum field theory

    Quantum_field_theory

  • Integrability conditions for differential systems
  • American Mathematical Society ISBN 0-8218-3375-8 Dunajski, M. (2010) Solitons, Instantons and Twistors, Oxford University Press ISBN 978-0-19-857063-9

    Integrability conditions for differential systems

    Integrability_conditions_for_differential_systems

  • Dirac string
  • Unobservable spacetime curves needed to describe Dirac monopoles

    algebra Kac–Moody algebra Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie

    Dirac string

    Dirac_string

  • Yang–Mills flow
  • Gradient flow of the Yang–Mills action functional

    This helps to find critical points, called Yang–Mills connections or instantons, which solve the Yang–Mills equations, as well as to study their stability

    Yang–Mills flow

    Yang–Mills flow

    Yang–Mills_flow

  • List of Russian scientists
  • the concepts of Polyakov action, 't Hooft–Polyakov monopole and BPST instanton Isaak Pomeranchuk, predicted synchrotron radiation Bruno Pontecorvo, a

    List of Russian scientists

    List_of_Russian_scientists

  • Future of an expanding universe
  • Aspect of physical cosmology

    Frost, William; Schwartz, Matthew D. (12 March 2018). "Scale-invariant instantons and the complete lifetime of the standard model". Physical Review D. 97

    Future of an expanding universe

    Future of an expanding universe

    Future_of_an_expanding_universe

  • Domain wall
  • Topological soliton

    Domain wall (string theory), a theoretical 2-dimensional singularity Instanton, can form kink or domain walls in Euclidean time. Besides these important

    Domain wall

    Domain_wall

  • List of things named after Stephen Hawking
  • named Gary Gibbons and Hawking, a method of constructing gravitational instantons. Gibbons–Hawking–York boundary term, named after Gary Gibbons, James W

    List of things named after Stephen Hawking

    List of things named after Stephen Hawking

    List_of_things_named_after_Stephen_Hawking

  • Eta and eta prime mesons
  • Isosinglet meson made of quarks and antiquarks

    naturally explain. This "η–η′ puzzle" can be resolved by the 't Hooft instanton mechanism (proposed by Gerard 't Hooft in 1976), whose ⁠1/ N ⁠ realization

    Eta and eta prime mesons

    Eta_and_eta_prime_mesons

  • Twistor correspondence
  • correspondence (also known as Penrose–Ward correspondence) is a bijection between instantons on complexified Minkowski space and holomorphic vector bundles on twistor

    Twistor correspondence

    Twistor_correspondence

  • Yuri Manin
  • Russian mathematician (1937–2023)

    Drinfeld, Vladimir; Hitchin, Nigel; Manin, Yuri (1978). "Construction of instantons". Physics Letters A. 65 (3): 185–187. Bibcode:1978PhLA...65..185A. doi:10

    Yuri Manin

    Yuri Manin

    Yuri_Manin

  • Axion
  • Hypothetical elementary particle

    created abundantly during the Big Bang. Because of a unique coupling to the instanton field of the primordial universe (the "misalignment mechanism"), an effective

    Axion

    Axion

  • Fubini–Study metric
  • Metric on a complex projective space endowed with Hermitian form

    projective plane CP2 has been proposed as a gravitational instanton, the gravitational analog of an instanton. The metric, the connection form and the curvature

    Fubini–Study metric

    Fubini–Study_metric

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

    algebra Kac–Moody algebra Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie

    Supergroup (physics)

    Supergroup_(physics)

  • Vladimir Drinfeld
  • Mathematician

    contributions to mathematical physics, including the ADHM construction of instantons, algebraic formalism of the quantum inverse scattering method, and the

    Vladimir Drinfeld

    Vladimir_Drinfeld

  • Computational topology
  • Subfield of mathematical topology

    coNP, provided that the Generalized Riemann hypothesis holds. He uses instanton gauge theory, the geometrization theorem of 3-manifolds, and subsequent

    Computational topology

    Computational_topology

  • Twisted K-theory
  • Mathematical theory

    squares for physicists. In Twisted K-theory and cohomology. In D-Brane Instantons and K-Theory Charges by Juan Maldacena, Gregory Moore and Nathan Seiberg

    Twisted K-theory

    Twisted_K-theory

  • World line
  • Path of an object through spacetime

    1016/0550-3213(82)90455-2. Dunne, Gerald V.; Schubert, Christian (2005). "Worldline instantons and pair production in inhomogenous fields" (PDF). Physical Review D.

    World line

    World_line

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

    algebra Kac–Moody algebra Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie

    Calabi–Yau manifold

    Calabi–Yau manifold

    Calabi–Yau_manifold

  • Bosonic string theory
  • 26-dimensional string theory

    algebra Kac–Moody algebra Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie

    Bosonic string theory

    Bosonic_string_theory

  • Gary Gibbons
  • British theoretical physicist

    quantum gravity programme, he discovered many of the known gravitational instantons and classified their properties. In the more conventional Lorentzian approach

    Gary Gibbons

    Gary Gibbons

    Gary_Gibbons

  • Hořava–Witten theory
  • algebra Kac–Moody algebra Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie

    Hořava–Witten theory

    Hořava–Witten_theory

  • Twistor theory
  • Theory proposed by Roger Penrose

    theories, although it does suffice for Yang–Mills–Higgs monopoles and instantons (see ADHM construction). An early attempt to overcome this restriction

    Twistor theory

    Twistor_theory

  • Nathan Seiberg
  • Israeli American theoretical physicist

    arise in string theory, and Dine, Seiberg, X. G. Wen, and Witten studied instantons on the string worldsheet. Gregory Moore and Seiberg studied Rational Conformal

    Nathan Seiberg

    Nathan Seiberg

    Nathan_Seiberg

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