Supersymmetric Chern-Simons Theories with Vector Matter
Sachin Jain, Sandip P. Trivedi, Spenta R. Wadia, Shuichi Yokoyama
TL;DR
This paper analyzes SU(N) Chern-Simons theories with vector matter, providing an exact large N free energy calculation for an N=2 supersymmetric model with polynomial interactions.
Contribution
It introduces a generalized Hubbard-Stratonovich method to compute the free energy of supersymmetric Chern-Simons theories with complex interactions.
Findings
Exact free energy calculation for all 't Hooft couplings.
Extension of Hubbard-Stratonovich method to SUSY models.
Insights into the behavior of supersymmetric Chern-Simons theories.
Abstract
In this paper we discuss SU(N) Chern-Simons theories at level k with both fermionic and bosonic vector matter. In particular we present an exact calculation of the free energy of the N=2 supersymmetric model (with one chiral field) for all values of the 't Hooft coupling in the large N limit. This is done by using a generalization of the standard Hubbard-Stratanovich method because the SUSY model contains higher order polynomial interactions.
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