Notes on superconformal Chern-Simons-Matter theories
Davide Gaiotto,Xi Yin +1 more
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In this paper, it was shown that = 2 U(n) Chern-Simons theories coupled to suitable matter fields are dual to open or closed string theories in AdS4, which are not yet constructed.Abstract:
The three dimensional = 2 supersymmetric Chern-Simons theory coupled to matter fields, possibly deformed by a superpotential, give rise to a large class of exactly conformal theories with Lagrangian descriptions. These theories can be arbitrarily weakly coupled, and hence can be studied perturbatively. We study the theories in the large N limit, and compute the two-loop anomalous dimension of certain long operators. Our result suggests that various = 2 U(N) Chern-Simons theories coupled to suitable matter fields are dual to open or closed string theories in AdS4, which are not yet constructed.read more
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N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
TL;DR: In this paper, the authors constructed three dimensional Chern-Simons-matter theories with gauge groups U(N) × U(n) and SU(N), SU(2) × SU (2) which have explicit = 6 superconformal symmetry.
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Exact results for Wilson loops in superconformal Chern-Simons theories with matter
TL;DR: In this paper, the expectation values of supersymmetric Wilson loops in Chern-Simons theories with matter were computed using localization techniques, and the path-integral reduces to a non-Gaussian matrix model.
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The exact superconformal R-symmetry extremizes Z
TL;DR: In this paper, the three sphere partition function of three dimensional theories with four supercharges and an R-symmetry is computed using localization, resulting in a matrix integral over the Cartan of the gauge group.
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S-duality of boundary conditions in N=4 super Yang-Mills theory
Davide Gaiotto,Edward Witten +1 more
TL;DR: In this paper, the S-duality of boundary conditions is closely related to mirror symmetry of three-dimensional gauge theories, and the IR behavior of large classes of quiver gauge theories.
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Higher spin gauge theory and holography: the three-point functions
Simone Giombi,Xi Yin +1 more
TL;DR: In this paper, the tree level three-point functions of Vasiliev's higher spin gauge theory were calculated in AdS4 and found agreement with the correlators of the free field theory of N massless scalars in three dimensions in the O(N) singlet sector.
References
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TL;DR: In this article, it was shown that the large-N limits of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes, spheres, and other compact manifolds.
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Gauge Theory Correlators from Non-Critical String Theory
TL;DR: In this paper, a boundary of the anti-deSitter space analogous to a cut-off on the Liouville coordinate of the two-dimensional string theory is introduced to obtain certain Green's functions in 3+1-dimensional N = 4 supersymmetric Yang-Mills theory with a large number of colors via non-critical string theory.
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Anti de sitter space and holography
TL;DR: In this article, a correspondence between conformal field theory observables and those of supergravity was proposed, where correlation functions in conformal fields are given by the dependence of the supergravity action on the asymptotic behavior at infinity.
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Large N Field Theories, String Theory and Gravity
TL;DR: In this paper, the holographic correspondence between field theories and string/M theory is discussed, focusing on the relation between compactifications of string theory on anti-de Sitter spaces and conformal field theories.