Papers

Oct, 2013

ABJM Wilson loops in arbitrary representations

JOURNAL OF HIGH ENERGY PHYSICS
  • Yasuyuki Hatsuda
  • ,
  • Masazumi Honda
  • ,
  • Sanefumi Moriyama
  • ,
  • Kazumi Okuyama

Volume
Number
10
Language
English
Publishing type
Research paper (scientific journal)
DOI
10.1007/JHEP10(2013)168
Publisher
SPRINGER

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.

Link information
DOI
https://doi.org/10.1007/JHEP10(2013)168
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000326084100001&DestApp=WOS_CPL
ID information
  • DOI : 10.1007/JHEP10(2013)168
  • ISSN : 1029-8479
  • Web of Science ID : WOS:000326084100001

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