Supersymmetric Chern-Simons Theories with Vector Matter

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.

46 pages, 24 figures, v2: comments and references added, v3: a footnote in Section 3.5 added

References in corpus (4)

• Fractional M2-branes
• Seiberg Duality in Chern-Simons Theory
• Higher Spins in AdS and Twistorial Holography
• Blackhole/String Transition for the Small Schwarzschild Blackhole of $Ad{S}_5\times S^5$ and Critical Unitary Matrix Models

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