# Linking loops in ABJM and refined theory

Taro Kimura

Research output: Contribution to journalArticle

2 Citations (Scopus)

### Abstract

Abstract: We consider the link average of the half-BPS Wilson loop operators in N=6$$\mathcal{N}=6$$ superconformal Chern-Simons-matter theory, which is called ABJM theory. We show that this loop average is reduced to a (super)matrix integral by the localization method, in a similar way to the bosonic U(N) Chern-Simons theory. Using this matrix integral, we compute the two- and three-link averages with an operator formalism inspired by a three-dimensional topological field theory. We obtain a factorization of the link average, and the Verlinde formula in a sector of supergroup representations. We also propose a refined version of ABJM theory, and compute some refined link averages.

Original language English 30 Journal of High Energy Physics 2015 7 https://doi.org/10.1007/JHEP07(2015)030 Published - 2015 Jul 22

### Keywords

• Chern-Simons Theories
• Matrix Models

### ASJC Scopus subject areas

• Nuclear and High Energy Physics