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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Bifundamental multiscalar fixed points in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi><mml:mo>=</mml:mo><mml:mn>3</mml:mn><mml:mo>−</mml:mo><mml:mi>ε</mml:mi></mml:math>
Samarth Kapoor,Shiroman Prakash +1 more
TL;DR: In this paper , the authors studied fixed points of scalar fields that transform in the bifundamental representation of O(N) times O(M/N) O(n)O(N/N), where N/N is the ratio of the ratio between the ratio O(m/n) and M/N.
Emergent Supersymmetry at Large $N$
Shiroman Prakash,Shubham Sinha +1 more
TL;DR: In this paper , the authors search for infrared fixed points of Gross-Neveu Yukawa models with matrix degrees of freedom in $d=4-varepsilon, and find several non-supersymmetric fixed points at finite and large $N$ limit.
References
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