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Article Dans Une Revue Journal of High Energy Physics Année : 2015

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.
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Dates et versions

hal-01124434 , version 1 (06-03-2015)

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Taro Kimura. Linking loops in ABJM and refined theory. Journal of High Energy Physics, 2015, 2015 (7), pp.030. ⟨10.1007/JHEP07(2015)030⟩. ⟨hal-01124434⟩
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