Linking loops in ABJM and refined theory
Résumé
We consider the link average of the half-BPS Wilson loop operators in $N$ = 6 super-conformal 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.
Domaines
Physique mathématique [math-ph]
Origine : Fichiers produits par l'(les) auteur(s)