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254
Index for three dimensional superconformal field theories with general Rcharge assignments
 JHEP
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Lectures on localization and matrix models in Supersymmetric Chern–simons–matter Theories
, 2012
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Twisted supersymmetric 5D YangMills theory and contact geometry
 JHEP
, 2012
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MultiMatrix Models and TriSasaki Einstein Spaces
, 2010
"... Localization methods reduce the path integrals in N ≥ 2 supersymmetric ChernSimons gauge theories on S 3 to multimatrix integrals. A recent evaluation of such a twomatrix integral for the N = 6 superconformal U(N) × U(N) ABJM theory produced detailed agreement with the AdS/CFT correspondence, ex ..."
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Cited by 46 (2 self)
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Localization methods reduce the path integrals in N ≥ 2 supersymmetric ChernSimons gauge theories on S 3 to multimatrix integrals. A recent evaluation of such a twomatrix integral for the N = 6 superconformal U(N) × U(N) ABJM theory produced detailed agreement with the AdS/CFT correspondence, explaining in particular the N 3/2 scaling of the free energy. We study a class of pmatrix integrals describing N = 3 superconformal U(N) p ChernSimons gauge theories. We present a simple method that allows us to evaluate the eigenvalue densities and the free energies in the large N limit keeping the ChernSimons levels ki fixed. The dual Mtheory backgrounds are AdS4×Y, where Y are sevendimensional triSasaki Einstein spaces specified by the ki. The gravitational free energy scales inversely with the square root of the volume of Y. We find a general formula for the pmatrix free energies that agrees with the available results for volumes of the triSasaki Einstein spaces Y, thus providing a thorough test of the corresponding AdS4/CFT3 dualities. This formula is consistent with the Seiberg duality conjectured for ChernSimons gauge theories.
ChernSimons Theory with Vector Fermion Matter,” [arXiv:1110.4386 [hepth
"... We study three dimensional conformal field theories described by U(N) ChernSimons theory at level k coupled to massless fermions in the fundamental representation. By solving a SchwingerDyson equation in lightcone gauge, we compute the exact planar free energy of the theory at finite temperature ..."
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Cited by 39 (2 self)
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We study three dimensional conformal field theories described by U(N) ChernSimons theory at level k coupled to massless fermions in the fundamental representation. By solving a SchwingerDyson equation in lightcone gauge, we compute the exact planar free energy of the theory at finite temperature on R2 as a function of the ’t Hooft coupling λ = N/k. Employing a dimensional reduction regularization scheme, we find that the free energy vanishes at λ  = 1; the conformal theory does not exist for λ > 1. We analyze the operator spectrum via the anomalous conservation relation for higher spin currents, and in particular show that the higher spin currents do not develop anomalous dimensions at leading order in 1/N. We present an integral equation whose solution in principle determines all correlators of these currents at leading order in 1/N and present explicit perturbative results for all three point functions up to two loops. We also discuss a lightcone Hamiltonian formulation of this theory where a W ∞ algebra arises. The maximally supersymmetric version of our theory is ABJ model with one gauge group taken to be U(1), demonstrating that a pure higher spin gauge theory arises as a limit of string theory. ar X iv
The gravity dual of supersymmetric gauge theories on a twoparameter deformed threesphere
 Nucl. Phys. B
"... We present a new oneparameter family of supersymmetric solutions deforming AdS5. This is constructed as an asymptotically locally anti de Sitter (AlAdS) solution of fivedimensional minimal gauged supergravity, with topology R×R4 and a nontrivial graviphoton field, and can be uplifted to ten or el ..."
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Cited by 34 (5 self)
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We present a new oneparameter family of supersymmetric solutions deforming AdS5. This is constructed as an asymptotically locally anti de Sitter (AlAdS) solution of fivedimensional minimal gauged supergravity, with topology R×R4 and a nontrivial graviphoton field, and can be uplifted to ten or eleven dimensional supergravities. An analytic continuation of this solution yields the gravity dual to a class of fourdimensional N = 1 supersymmetric gauge theories on a curved manifold with topology S1 × S3, comprising an SU(2) × U(1)symmetric squashed threesphere, with a nontrivial background gauge field coupling to the Rsymmetry current. We compute the holographically renormalised onshell action and interpret it in terms of the Casimir energy of the dual field theory. We also determine the holographic conserved charges of the solution and discuss relations between them. ar X iv
Unquenched flavor and tropical geometry in strongly coupled Chern–Simons–matter theories
, 2011
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Nonperturbative effects and the refined topological string
, 2013
"... The partition function of ABJM theory on the threesphere has nonperturbative corrections due to membrane instantons in the Mtheory dual. We show that the full series of membrane instanton corrections is completely determined by the refined topological string on the Calabi–Yau manifold known as lo ..."
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Cited by 23 (7 self)
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The partition function of ABJM theory on the threesphere has nonperturbative corrections due to membrane instantons in the Mtheory dual. We show that the full series of membrane instanton corrections is completely determined by the refined topological string on the Calabi–Yau manifold known as local P1 × P1, in the Nekrasov–Shatashvili limit. Our result can be interpreted as a firstprinciples derivation of the full series of nonperturbative effects for the closed topological string on this Calabi–Yau background. Based on this, we make a proposal for the nonperturbative free energy of topological strings on general, local Calabi–Yau manifolds.