2024-03-29T10:53:25Z
https://soar-ir.repo.nii.ac.jp/oai
oai:soar-ir.repo.nii.ac.jp:00018268
2022-12-14T04:13:23Z
1169:1170
ABJM Wilson loops in arbitrary representations
Hatsuda, Yasuyuki
Honda, Masazumi
Moriyama, Sanefumi
Okuyama, Kazumi
Matrix Models
Wilson
't Hooft and Polyakov loops
Topological Strings
M-Theory
We study vacuum expectation values (VEVs) of circular half BPS Wilson loops in arbitrary representations in ABJM theory. We find that those in hook representations are reduced to elementary integrations thanks to the Fermi gas formalism, which are accessible from the numerical studies similar to the partition function in the previous studies. For non-hook representations, we show that the VEVs in the grand canonical formalism can be exactly expressed as determinants of those in the hook representations. Using these facts, we can study the instanton effects of the VEVs in various representations. Our results are consistent with the worldsheet instanton effects studied from the topological string and a prescription to include the membrane instanton effects by shifting the chemical potential, which has been successful for the partition function.
Article
JOURNAL OF HIGH ENERGY PHYSICS. 2013(10):168 (2013)
journal article
SPRINGER
2013-10-24
application/pdf
JOURNAL OF HIGH ENERGY PHYSICS
10
2013
168
1029-8479
AA1188279X
https://soar-ir.repo.nii.ac.jp/record/18268/files/ABJM_Wilson_loops_arbitrary_representations.pdf
eng
10.1007/JHEP10(2013)168
https://doi.org/10.1007/JHEP10(2013)168
© 2013 SISSA. JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0