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Exact results for Wilson loops in orbifold ABJM theory

Authors :
Hao Ouyang
Jia-ju Zhang
Jun-Bao Wu
Publication Year :
2015

Abstract

We investigate the exact results for circular 1/4 and 1/2 BPS Wilson loops in the $d=3$ ${\mathcal N}=4$ super Chern-Simons-matter theory that could be obtained by orbifolding Aharony-Bergman-Jafferis-Maldacena (ABJM) theory. The partition function of the ${\mathcal N}=4$ orbifold ABJM theory has been computed previously in the literature. In this paper, we re-derive it using a slightly different method. We calculate the vacuum expectation values of the circular 1/4 BPS Wilson loops in fundamental representation and of circular 1/2 BPS Wilson loops in arbitrary representations. We use both the saddle point approach and Fermi gas approach. The results for Wilson loops are in accord with the available gravity results.<br />V1, 19 pages, 1 figure; V2, 24 pages, 1 figure, general representations added; V3, 26 pages, no figure, published version

Details

Language :
English
Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....45f1493a69b0865a7fd5e1d7556a919a