Complete factorization in minimal N=4 Chern-Simons-matter theory
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.
Cite
@article{arxiv.1706.07234,
title = {Complete factorization in minimal N=4 Chern-Simons-matter theory},
author = {Tomoki Nosaka and Shuichi Yokoyama},
journal= {arXiv preprint arXiv:1706.07234},
year = {2018}
}
Comments
1+20 pages, 5 figures, v2: comments on the convergence and regularization of the partition function, one figure, references added, some other minor improvements, v3: typos corrected, published version