Chern-Simons theory coupled to bifundamental scalars
Shamik Banerjee,Đorđe Radičević +1 more
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In this article, the authors studied the three-dimensional theory of two Chern-Simons field coupled to a scalar field in the bifundamental representation of the SU(N ) −k × SU(M )−k gauge group and showed that this theory possesses a line of fixed points at any value of M/N.Abstract:
We study the three-dimensional theory of two Chern-Simons gauge fields coupled to a scalar field in the bifundamental representation of the SU(N )
k
× SU(M )−k
gauge group. At small but fixed M ≪ N , this system approaches the theory of a Chern-Simons field coupled to fundamental matter, conjectured to be dual to a parity-violating version of Vasiliev’s higher-spin gauge theory in AdS4. At finite M/N and large ’t Hooft coupling this theory (or its SUSY version) is expected to be dual to an Einstein-like gravity. We show at two loops that this theory possesses a line of fixed points at any value of M/N . We also prove that turning on a finite but small M/N gaps out the light states that Chern-Simons theory coupled to fundamental matter develops when placed on a torus. We also comment on the higher genus case.read more
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References
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Higher spin realization of the DS/CFT correspondence
TL;DR: In this article, the authors conjecture that Vasiliev's theory of higher spin gravity in four-dimensional de Sitter space is holographically dual to a three-dimensional conformal field theory (CFT(3)) living on the spacelike boundary of dS(4) at future timelike infinity.
Journal ArticleDOI
Higher spins in AdS and twistorial holography
Simone Giombi,Xi Yin +1 more
TL;DR: In this article, the authors simplify and extend previous work on three-point functions in Vasiliev's higher spin gauge theory in AdS4, and find complete agreement of the tree level three point functions of higher spin currents with the conjectured dual free O(N) vector theory.
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ABJ triality: from higher spin fields to strings
TL;DR: In this article, a supersymmetric and parity violating version of Vasiliev's higher spin gauge theory in AdS4 admits boundary conditions that preserve or 6 supersymmetries.
Journal ArticleDOI
Decoupling limits of N=4 super Yang-Mills on R x S^3
TL;DR: In this article, the decoupling limits of N=4 super Yang-Mills (SYM) on R x S^3 with gauge group SU(N) were studied.
Posted Content
Higher Spin Realization of the dS/CFT Correspondence
TL;DR: In this article, the authors conjecture that Vasiliev's theory of higher spin gravity in four-dimensional de Sitter space (dS) is holographically dual to a three-dimensional conformal field theory (CFT) living on the spacelike boundary of dS at future timelike infinity.