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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
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
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
General concept and operation in mathematics
duality Langlands dual Linear programming#Duality List of dualities Matlis duality Petrie duality Pontryagin duality S-duality T-duality, Mirror symmetry
Duality_(mathematics)
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
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
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
Connects homology and cohomology groups for oriented closed manifolds
unique orientation mod 2, Poincaré duality holds mod 2 without any assumption of orientation. A form of Poincaré duality was first stated, without proof
Poincaré_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
Spanier–Whitehead duality is a duality theory in homotopy theory, based on a geometrical idea that a topological space X may be considered as dual to its complement
Spanier–Whitehead_duality
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)
In mathematics, Tate duality or Poitou–Tate duality is a duality theorem for Galois cohomology groups of modules over the Galois group of an algebraic
Tate_duality
Superconformal Yang–Mills theory
theory has symmetries that shift τ {\displaystyle \tau } by integers. The S-duality conjecture says there is also a symmetry which sends τ ↦ − 1 n G τ {\displaystyle
N = 4 supersymmetric Yang–Mills theory
N_=_4_supersymmetric_Yang–Mills_theory
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
Renormalization group duality in supersymmetric gauge theories
supersymmetry of Montonen–Olive duality in N=4 theories and electromagnetic duality in abelian theories. Seiberg duality is an equivalence of the IR fixed
Seiberg_duality
Class of symmetries in string theory
distance scale with a small distance scale. This type of duality is called T-duality. T-duality relates type IIA superstring theory to type IIB superstring
String_duality
Poincaré duality Poitou–Tate duality Pontryagin duality S-duality (homotopy theory) Schur–Weyl duality Series-parallel duality Serre duality Spanier–Whitehead
List_of_dualities
Mathematical theory
In mathematics, Alexander duality refers to a duality theory initiated by a result of J. W. Alexander in 1915, and subsequently further developed, particularly
Alexander_duality
Duality for locally compact abelian groups
In mathematics, Pontryagin duality is a duality between locally compact abelian groups that allows generalizing Fourier transform to all such groups, which
Pontryagin_duality
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
2004 single by Slipknot
field. Type Duality Slipknot in the "Search:" field. allmusic ((( Duality > Overview ))). Allmusic. Retrieved May 8, 2010 allmusic ((( Duality [Import CD]
Duality_(song)
Indian physicist (born 1956)
string theory, including his landmark paper on strong-weak coupling duality or S-duality, which was influential in changing the course of research in the
Ashoke_Sen
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)
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
Adjunction between a category of co/presheaf under the co/Yoneda embedding
natural isomorphisms. Isbell duality asserts that the relationship between these two functors is an adjunction. Isbell duality is the relationship between
Isbell_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
Various mathematical dualites
prototypical example of Koszul duality was introduced by Joseph Bernstein, Israel Gelfand, and Sergei Gelfand. It establishes a duality between the derived category
Koszul_duality
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
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
Guatemalan physicist (born 1956)
and Dieter Lüst, he proposed a weak-strong duality conjecture which introduced the concept of S-duality in 1990. He obtained his BSc in physics from
Fernando_Quevedo
In mathematics, Cartier duality is an analogue of Pontryagin duality for commutative group schemes. It was introduced by Pierre Cartier (1962). Given any
Cartier_duality
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
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
Venezuelan theoretical physicist (born 1959)
compactification and she and her collaborators introduced the concept of S-duality to superstring theory, contributing to the second superstring revolution
Anamaría_Font
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
Generalisations of Serre duality in mathematics
In mathematics, coherent duality is any of a number of generalisations of Serre duality, applying to coherent sheaves, in algebraic geometry and complex
Coherent_duality
Model in string theory
amplitude which has the property that it is explicitly s–t crossing symmetric, exhibits duality between the description in terms of Regge poles or of resonances
Dual_resonance_model
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)
In physics and geometry: conjectured relation between pairs of Calabi–Yau manifolds
related by a certain symmetry. Other dualities that arise in string theory are S-duality, T-duality, and the AdS/CFT correspondence. For an accessible
Mirror symmetry (string theory)
Mirror_symmetry_(string_theory)
Correspondence between properties of a category and its opposite
homotopy theory. In this context, the duality is often called Eckmann–Hilton duality. Adjoint functor Dual object Duality (mathematics) Opposite category Pulation
Dual_(category_theory)
Aspect of theoretical physics
to the same theory with the coupling 1/g. This equivalence is known as S-duality. Orientifold of type IIB string theory leads to type I string theory.
Type_II_string_theory
Mathematical mapping in quantum mechanics
operator instead of an order operator. This is also an example of an S-duality. If the system has more than one dimension the transformation can still
Jordan–Wigner_transformation
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
Theorem in algebraic geometry
In algebraic geometry, a branch of mathematics, Serre duality is a duality for the coherent sheaf cohomology of algebraic varieties, proved by Jean-Pierre
Serre_duality
Line of gamepads developed by Sony
Nintendo 64's Rumble Pak has only one motor and is powered by a battery, while the DualShock has two motors and all corded varieties of the DualShock are
DualShock
2004 studio album by Lisa Gerrard and Patrick Cassidy
Cassidy, released in 2004. It was Gerrard's first studio release since 1998's Duality with Pieter Bourke. Gerrard first met Cassidy in 2000 in Los Angeles (where
Immortal_Memory
Gopakumar–Vafa duality is a duality in string theory, hence a correspondence between two different theories, in this case between Chern–Simons theory and
Gopakumar–Vafa_duality
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
Mathematical theory
described a connection between the geometric Langlands correspondence and S-duality, a property of certain quantum field theories. In 2018, when accepting
Geometric Langlands correspondence
Geometric_Langlands_correspondence
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/St
Type_I_string_theory
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
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
Concept in optimization
In applied mathematics, weak duality is a concept in optimization which states that the duality gap is always greater than or equal to 0. This means that
Weak_duality
Correspondence between anti-de Sitter space and quantum chromodynamics
quantum chromodynamics (QCD) in terms of a dual gravitational theory, following the principles of the AdS/CFT correspondence in a setup where the quantum
AdS/QCD_correspondence
Precursor physical model to string theory and quantum chromodynamics
trajectory Bootstrap model Pomeron Dual resonance model History of string theory Giddings, Steven B. (1999-10-04). "Boundary S-Matrix and the Anti–de Sitter
S-matrix_theory
American theoretical physicist
physics was to the result of gauge/gravity duality. In 1997, Juan Maldacena formulated a result known as the AdS/CFT correspondence, which establishes a
Edward_Witten
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
Correspondence between a Kerr black hole and a conformal field theory
correspondence or gauge-gravity duality to rotating black holes (which are described by the Kerr metric). The duality works for black holes whose near-horizon
Kerr/CFT_correspondence
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
Writing system used c. 1050 to 146 BC
phonemes such as vowels (a e i o u) and continuant consonants (l n r ŕ s ś). Duality. Appears on the earliest Iberian and Celtiberian inscriptions and refers
Phoenician_alphabet
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
26-dimensional string theory
{\Gamma (-1-s/2)\Gamma (-1-t/2)\Gamma (-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
Bosonic_string_theory
Mathematical concept
the topology of the worldsheet of a closed string is R × S 1 {\displaystyle \mathbb {R} \times S^{1}} , and admits 'coordinates' ( τ , σ ) {\displaystyle
Worldsheet
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
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
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
Graph representing faces of another graph
by the concept of a dual matroid. Variations of planar graph duality include a version of duality for directed graphs, and duality for graphs embedded
Dual_graph
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
Association of electrical terms into pairs based on interchanging voltage and current
that the dual is always a valid statement can be traced to the duality of electricity and magnetism. Here is a partial list of electrical dualities: voltage
Duality_(electrical_circuits)
Flagship & high-end series of smartphones
2020. "The Galaxy S9's dual-aperture camera is great marketing". theverge. 27 February 2018. "This is the best look at the Galaxy S9's variable aperture
Samsung_Galaxy_S_series
Relationship between certain categories
duality and explains a very general instance thereof in detail. Probably the most general duality that is classically referred to as "Stone duality"
Stone_duality
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)
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
Generalization of electrodynamics
Asymptotically, 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 Q R S T U V W X Y Z S-1 Uranium Committee S-LINK S-PRISM S-brane S-duality S-knot S-matrix S-matrix theory S-process S-wave S. Brooks McLane S. Pancharatnam
Index_of_physics_articles_(S)
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
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
Topics referred to by the same term
Dually may refer to: Dualla, County Tipperary, a village in Ireland A pickup truck with dual wheels on the rear axle DUALLy, s platform for architectural
Dually
German physicist (born 1956)
Fernando Quevedo they proposed a weak-strong duality conjecture which introduced the concept of S-duality in 1990. He has been an editor of Fortschritte
Dieter_Lüst
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
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
The duality gap is zero if and only if strong duality holds. Otherwise the gap is strictly positive and weak duality holds. In general given two dual pairs
Duality_gap
Majorant and minorant in mathematics
subset S of some preordered set (K, ≤) is an element of K that is greater than or equal to every element of S. Dually, a lower bound or minorant of S is defined
Upper_and_lower_bounds
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
Bogomol'nyi–Prasad–Sommerfield bound
Bogomol'nyi–Prasad–Sommerfield_bound
Correspondence in physics
program[clarification needed] to apply string theory to condensed matter theory using the AdS/CFT correspondence. Over the decades, experimental condensed matter physicists
AdS/CMT_correspondence
Russian-American physicist (born 1971)
theories. With Edward Witten, he discovered deep connections between the S-duality of supersymmetric gauge theories and the geometric Langlands correspondence
Anton_Kapustin
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
Tensor quantum field of mixed symmetry
1016/0370-2693(85)91235-3. Boulanger, N.; Cnockaert, S.; Henneaux, M. (2003). "A note on spin-s duality". Journal of High Energy Physics. 2003 (6): 060.
Curtright_field
Concept in quantum mechanics
Wave–particle duality is the concept in quantum mechanics that fundamental entities of the universe, like photons and electrons, exhibit particle or wave
Wave–particle_duality
Superconformal quantum field theory
Maldacena in 2008. It provides a holographic dual to M-theory on A d S 4 × S 7 {\displaystyle \mathrm {AdS} _{4}\times S^{7}} . The ABJM theory is also closely
ABJM superconformal field theory
ABJM_superconformal_field_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
Israeli American theoretical physicist
chiral symmetry breaking and a new kind of electric-magnetic duality – Seiberg duality. Kenneth Intriligator and Seiberg studied many more models and
Nathan_Seiberg
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
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
Magnetic loop operator dual to the Wilson loop
(2006). "Wilson-'t Hooft operators in four-dimensional gauge theories and S-duality". Phys. Rev. D. 74 (2) 025005. arXiv:hep-th/0501015. Bibcode:2006PhRvD
't_Hooft_loop
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
French post-industrial/electronic band
Profundis' in 1994, followed by 'L'âme électrique' the following year. 1997's 'Duality' does not complete the trilogy, Phillipe Fichot choosing to leave the
Die_Form
Standard for transmitting digital video to a display
rate (including 8b/10b overhead): 4.95 Gbit/s Net bit rate (subtracting 8b/10b overhead): 3.96 Gbit/s Dual link bit rates are twice that of single link
Digital_Visual_Interface
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
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
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