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201
Lectures on localization and matrix models in Supersymmetric Chern–simons–matter Theories
, 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
Superconformal indices of threedimensional theories related by mirror symmetry,” arXiv:1103.4075 [hepth
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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
Exact results for fivedimensional superconformal field theories with gravity duals,” arXiv:1207.4359 [hepth
"... We apply the technique of supersymmetric localization to exactly compute the S5 partition function of several large N superconformal field theories in five dimensions that have AdS6 duals in massive type IIA supergravity. The localization computations are performed in the nonrenormalizable effecti ..."
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Cited by 31 (0 self)
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We apply the technique of supersymmetric localization to exactly compute the S5 partition function of several large N superconformal field theories in five dimensions that have AdS6 duals in massive type IIA supergravity. The localization computations are performed in the nonrenormalizable effective field theories obtained through relevant deformations of the UV superconformal field theories. We compare the S5 free energy to a holographic computation of entanglement entropy in the AdS6 duals and find perfect agreement. In particular, we reproduce the N5/2 scaling of the S5 free energy that was expected from supergravity.
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 American Economic Review
, 2006
"... This report is preliminary and has not been reviewed for conformity with U.S. Geological Survey editorial standards (or with the North American Stratigraphic Code). Any use of trade, product, or firm names is for descriptive purposes only and does not imply endorsement by the U.S. Government. ..."
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Cited by 27 (2 self)
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This report is preliminary and has not been reviewed for conformity with U.S. Geological Survey editorial standards (or with the North American Stratigraphic Code). Any use of trade, product, or firm names is for descriptive purposes only and does not imply endorsement by the U.S. Government.