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 |
|---|---|
| Article number | 30 |
| Journal | Journal of High Energy Physics |
| Volume | 2015 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 2015 Jul 22 |
Keywords
- Chern-Simons Theories
- Matrix Models
ASJC Scopus subject areas
- Nuclear and High Energy Physics
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Cite this
Kimura, T. (2015). Linking loops in ABJM and refined theory. Journal of High Energy Physics, 2015(7), [30]. https://doi.org/10.1007/JHEP07(2015)030