Index and duality of minimal N=4 Chern-Simons-matter theories

Abstract

We perform a first step analysis toward generalization of the classification of N=4 linear quiver gauge theories by Gaiotto and Witten including Chern-Simons interaction. For this we investigate minimal N=4 U(N_1)_k x U(N_2)_{-k} Chern-Simons theories and their superconformal indices. In the previous publication we analyzed the three-sphere partition function of the theories, which implies that the theory is good/ugly/bad if k-N_1-N_2 is greater than/equal to/smaller than -1. In this paper we verify that this classification is consistent with the behavior of the superconformal index. We compare the superconformal indices for several pairs of non-bad theories connected by the Hanany-Witten transition and confirm their coincidence up to the contribution of one hypermultiplet.

arXiv comment1+18 pages, no figres, v2: minor corrections, improvements and references added

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• Fermi gas approach to general rank theories and quantum curves
• Supersymmetry Breaking in a Large N Gauge Theory with Gravity Dual
• Mapping Large N Slightly Broken Higher Spin (SBHS) theory correlators to Free theory correlators
• The Hilbert Space of large $N$ Chern-Simons matter theories
• Linear Chern-Simons-matter Theories in the Planar Limit
• Vacua, Symmetries, and Higgsing of Chern-Simons Matter Theories