English

Linking loops in ABJM and refined theory

High Energy Physics - Theory 2015-07-15 v2

Abstract

We consider the link average of the half-BPS Wilson loop operators in 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.

Keywords

Cite

@article{arxiv.1503.01462,
  title  = {Linking loops in ABJM and refined theory},
  author = {Taro Kimura},
  journal= {arXiv preprint arXiv:1503.01462},
  year   = {2015}
}

Comments

1+24 pages; references added, typos corrected

R2 v1 2026-06-22T08:44:39.540Z