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Superconformal field theory on threebranes at a CalabiYau singularity
 Nucl. Phys. B
, 1998
"... Just as parallel threebranes on a smooth manifold are related to string theory on AdS5 × S 5, parallel threebranes near a conical singularity are related to string theory on AdS5 × X5, for a suitable X5. For the example of the conifold singularity, for which X5 = (SU(2) × SU(2))/U(1), we argue that ..."
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Cited by 677 (36 self)
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Just as parallel threebranes on a smooth manifold are related to string theory on AdS5 × S 5, parallel threebranes near a conical singularity are related to string theory on AdS5 × X5, for a suitable X5. For the example of the conifold singularity, for which X5 = (SU(2) × SU(2))/U(1), we argue
On the gauge theory/geometry correspondence
 Adv. Theor. Math. Phys
, 1999
"... The ’t Hooft expansion of SU(N) ChernSimons theory on S3 is proposed to be exactly dual to the topological closed string theory on the S2 blow up of the conifold geometry. The Bfield on the S2 has magnitude Ngs = λ, the ’t Hooft coupling. We are able to make a number of checks, such as finding exa ..."
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Cited by 274 (36 self)
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The ’t Hooft expansion of SU(N) ChernSimons theory on S3 is proposed to be exactly dual to the topological closed string theory on the S2 blow up of the conifold geometry. The Bfield on the S2 has magnitude Ngs = λ, the ’t Hooft coupling. We are able to make a number of checks, such as finding
Bethe Ansatz for Quantum Strings
, 2004
"... We propose Bethe equations for the diagonalization of the Hamiltonian of quantum strings on AdS5×S 5 at large string tension and restricted to certain large charge states from a closed su(2) subsector. The ansatz differs from the recently proposed allloop gauge theory asymptotic Bethe ansatz by add ..."
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Cited by 281 (16 self)
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We propose Bethe equations for the diagonalization of the Hamiltonian of quantum strings on AdS5×S 5 at large string tension and restricted to certain large charge states from a closed su(2) subsector. The ansatz differs from the recently proposed allloop gauge theory asymptotic Bethe ansatz
The factorized Smatrix of CFT/AdS
, 2004
"... We argue that the recently discovered integrability in the largeN CFT/AdS system is equivalent to diffractionless scattering of the corresponding hidden elementary excitations. This suggests that, perhaps, the key tool for finding the spectrum of this system is neither the gauge theory’s dilatati ..."
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Cited by 240 (7 self)
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dilatation operator nor the string sigma model’s quantum Hamiltonian, but instead the respective factorized Smatrix. To illustrate the idea, we focus on the closed fermionic su(11) sector of the N = 4 gauge theory. We introduce a new technique, the perturbative asymptotic Bethe ansatz, and use
Two dimensional gauge theories revisited
 J. Geom. Phys
, 1992
"... Two dimensional quantum YangMills theory is reexamined using a nonabelian version of the DuistermaatHeckman integration formula to carry out the functional integral. This makes it possible to explain properties of the theory that are inaccessible to standard methods and to obtain general expressi ..."
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Cited by 200 (3 self)
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expressions for intersection pairings on moduli spaces of flat connections on a two dimensional surface. The latter expressions agree, for gauge group SU(2), with formulas obtained recently by several methods. This paper will be devoted to a renewed study of two dimensional YangMills theory without matter, a
AN−1 conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
, 2009
"... We propose a relation between correlation functions in the 2d AN−1 conformal Toda theories and the Nekrasov instanton partition functions in certain conformal N = 2 SU(N) 4d quiver gauge theories. Our proposal generalises the recently uncovered relation between the Liouville theory and SU(2) quivers ..."
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Cited by 158 (4 self)
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We propose a relation between correlation functions in the 2d AN−1 conformal Toda theories and the Nekrasov instanton partition functions in certain conformal N = 2 SU(N) 4d quiver gauge theories. Our proposal generalises the recently uncovered relation between the Liouville theory and SU(2
Mtheory Dynamics on a Manifold of G2 Holonomy
"... We analyze the dynamics of Mtheory on a manifold of G2 holonomy that is developing a conical singularity. The known cases involve a cone on CP 3, where we argue that the dynamics involves restoration of a global symmetry, SU(3)/U(1) 2, where we argue that there are phase transitions among three pos ..."
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Cited by 175 (2 self)
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We analyze the dynamics of Mtheory on a manifold of G2 holonomy that is developing a conical singularity. The known cases involve a cone on CP 3, where we argue that the dynamics involves restoration of a global symmetry, SU(3)/U(1) 2, where we argue that there are phase transitions among three
The Analytic Bethe Ansatz for a Chain with Centrally Extended su(22) Symmetry
, 2006
"... We investigate the integrable structure of spin chain models with centrally extended su(22) and psu(2, 24) symmetry. These chains have their origin in the planar AdS/CFT correspondence, but they also contain the onedimensional Hubbard model as a special case. We begin with an overview of the repr ..."
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Cited by 143 (6 self)
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of the representation theory of centrally extended su(22). These results are applied in the construction and investigation of an interesting Smatrix with su(22) symmetry. In particular, they enable a remarkably simple proof of the YangBaxter relation. We also show the equivalence of the Smatrix to Shastry’s R
Brane/Flux Annihilation and the String Dual of a NonSupersymmetric Field Theory
, 2006
"... We consider the dynamics of p antiD3 branes inside the KlebanovStrassler geometry, the deformed conifold with M units of RR 3form flux around the S 3. We find that for p << M the system relaxes to a nonsupersymmetric NS 5brane “giant graviton ” configuration, which is classically stable, b ..."
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Cited by 170 (18 self)
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“baryonic” branch and a supersymmetric “mesonic” branch of the corresponding SU(2M − p) × SU(M − p) low energy gauge theory. The NS 5brane tunneling process also provides a simple visualization of the The search for calculable and nontrivial nonsupersymmetric string vacua remains a problem of basic
Toric Geometry, Sasaki–Einstein Manifolds and a new Infinite Class of AdS/CFT duals
"... Recently an infinite family of explicit Sasaki–Einstein metrics Y p,q on S 2 × S 3 has been discovered, where p and q are two coprime positive integers, with q < p. These give rise to a corresponding family of Calabi–Yau cones, which moreover are toric. Aided by several recent results in toric ge ..."
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Cited by 173 (15 self)
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for the orbifold C 3 /Zp+1 × Zp+1 for all q < p with fixed p. We hence find that the Y p,q manifolds are AdS/CFT dual to an infinite class of N = 1 superconformal field theories arising as infra–red (IR) fixed points of toric quiver gauge theories with gauge group SU(N) 2p. As a non–trivial example, we show
Results 1  10
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5,825