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 |
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Keywords
- Chern-Simons Theories
- Matrix Models
ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Linking loops in ABJM and refined theory. / Kimura, Taro.
In: Journal of High Energy Physics, Vol. 2015, No. 7, 30, 22.07.2015.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Linking loops in ABJM and refined theory
AU - Kimura, Taro
PY - 2015/7/22
Y1 - 2015/7/22
N2 - 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.
AB - 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.
KW - Chern-Simons Theories
KW - Matrix Models
UR - http://www.scopus.com/inward/record.url?scp=84937566334&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84937566334&partnerID=8YFLogxK
U2 - 10.1007/JHEP07(2015)030
DO - 10.1007/JHEP07(2015)030
M3 - Article
AN - SCOPUS:84937566334
VL - 2015
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 7
M1 - 30
ER -