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arXiv · 1804.04639

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

Tomoki Nosaka·Shuichi Yokoyama
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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.

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Tomoki Nosaka, Shuichi Yokoyama. 2018-04-26. Index and duality of minimal N=4 Chern-Simons-matter theories. https://doi.org/10.1007/jhep06(2018)028

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