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Chern-Simons theory coupled to bifundamental scalars

Shamik Banerjee, +1 more
- 27 Jun 2014 - 
- Vol. 2014, Iss: 6, pp 168
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TLDR
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.

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References
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Journal ArticleDOI

Higher-spin gauge theories in four, three and two dimensions

TL;DR: In this paper, the theory of higher-spin gauge fields in four and three space-time dimensions was reviewed and some new results on higher spin gauge interactions of matter fields in two dimensions were presented.
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More on equations of motion for interacting massless fields of all spins in (3+1)-dimensions

TL;DR: In this paper, the authors established the simple link between the recently proposed equations of motion for interacting massless fields of all spins 0⩽ s and the simple connection between the previously proposed equations for all spins
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Massless Higher Spins and Holography

TL;DR: A survey of massless HS theories with 32 supersymmetries in D=4,5,7 (where the 7D results are new) is given and corresponding composite operators are discussed in this paper.
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d = 3 bosonic vector models coupled to Chern-Simons gauge theories

TL;DR: In this paper, the authors studied three-dimensional O(N) (U(N)) vector models with the Chern-Simons theory coupled to a scalar field in the fundamental representation, in the large N limit.
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Holography in 4D (super) higher spin theories and a test via cubic scalar couplings

TL;DR: In this article, a supersymmetric version of the Klebanov-Polyakov conjecture for the N = 1 model was proposed, where parity was used to constrain the bulk interactions.
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