Gopakumar–Vafa duality is a duality in string theory, hence a correspondence between two different theories, in this case between Chern–Simons theory...

gauge/geometry correspondence with Cumrun Vafa and is particularly known for proposing the Gopakumar–Vafa duality and Gopakumar–Vafa invariants. Later, his work focused...

geometry and field theories that arise through string dualities (culminating in the Gopakumar–Vafa conjecture). This topic has been known as "geometric...

integers. Gopakumar–Vafa duality Gopakumar & Vafa 1998a Gopakumar & Vafa 1998b Gopakumar & Vafa 1999 Gopakumar & Vafa 1998d Gopakumar, Rajesh; Vafa, Cumrun...

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

distinctive geometrical singularities allowed in string theory. Cumrun Vafa generalized T-duality from circles to arbitrary manifolds, creating the mathematical...

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...

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

field theory correspondence, sometimes called Maldacena duality (after ref.) or gauge/gravity duality, is a conjectured relationship between two kinds of...

Barbara. He is the author of over 200 publications. a paper with Cumrun Vafa that explains the microscopic origin of the black hole entropy, originally...

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...

revolution Second superstring revolution T-duality S-duality U-duality Montonen–Olive duality Mysterious duality Graviton Dilaton Tachyon Ramond–Ramond field...

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...

strings. Perhaps the first such duality is the Gopakumar–Vafa duality, which was introduced by Rajesh Gopakumar and Cumrun Vafa in On the Gauge Theory/Geometry...

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...

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...

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...

{\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 b2a+1...

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

condensation RNS formalism GS formalism String duality T-duality S-duality U-duality Montonen–Olive duality Particles and fields Graviton Dilaton Tachyon...

developed by Iranian-American physicist Cumrun Vafa. The new vacua described by F-theory were discovered by Vafa and allowed string theorists to construct...

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...

to Gopakumar–Vafa invariants, which are meant to give an underlying integer count to the typically rational Gromov-Witten theory. The Gopakumar-Vafa invariants...

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...

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

condensation RNS formalism GS formalism String duality T-duality S-duality U-duality Montonen–Olive duality Particles and fields Graviton Dilaton Tachyon...

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...

Superstring (Type I, Type II, Heterotic) Non-perturbative results S-duality T-duality U-duality M-theory F-theory AdS/CFT correspondence Phenomenology Phenomenology...

Superstring (Type I, Type II, Heterotic) Non-perturbative results S-duality T-duality U-duality M-theory F-theory AdS/CFT correspondence Phenomenology Phenomenology...

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