Linking loops in ABJM and refined theory

Taro Kimura

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


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 languageEnglish
Article number30
JournalJournal of High Energy Physics
Issue number7
Publication statusPublished - 2015 Jul 22


  • Chern-Simons Theories
  • Matrix Models

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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