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arXiv · 1706.07234

Complete factorization in minimal N=4 Chern-Simons-matter theory

Tomoki Nosaka·Shuichi Yokoyama
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Abstract

We investigate an N=4 U(N)_k x U(N+M)_{-k} Chern-Simons theory coupled to one bifundamental hypermultiplet by employing its partition function, which is given by 2N+M dimensional integration via localization. Surprisingly, by performing the integration explicitly we find that the partition function completely factorizes into that of the pure Chern-Simons theory for two gauge groups and an analogous contribution for the bifundamental hypermultiplet. Using the factorized form of the partition function we argue the level/rank duality, which is also expected from the Hanany-Witten transition in the type IIB brane realization. We also present the all order 't Hooft expansion of the partition function and comment on the connection to the higher-spin theory.

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Tomoki Nosaka, Shuichi Yokoyama. 2017-06-22. Complete factorization in minimal N=4 Chern-Simons-matter theory. https://doi.org/10.1007/jhep01(2018)001

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