Exact results for Wilson loops in orbifold ABJM theory

  • We investigate the exact results for circular 1/4 and 1/2 BPS Wilson loops in the d=3 N=4 super Chern-Simons-matter theory that could be obtained by orbifolding Aharony-Bergman-Jafferis-Maldacena (ABJM) theory. The partition function of the 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.
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Hao Ouyang, Jun-Bao Wu and Jia-Ju Zhang. Exact results for Wilson loops in orbifold ABJM theory[J]. Chinese Physics C, 2016, 40(8): 083101. doi: 10.1088/1674-1137/40/8/083101
Hao Ouyang, Jun-Bao Wu and Jia-Ju Zhang. Exact results for Wilson loops in orbifold ABJM theory[J]. Chinese Physics C, 2016, 40(8): 083101.  doi: 10.1088/1674-1137/40/8/083101 shu
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Received: 2016-01-18
Revised: 2016-03-04
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    Supported by NSFC (11222549, 11575202), K. C. Wong Education Foundation and Youth Innovation Promotion Association of CAS (2011016)

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Exact results for Wilson loops in orbifold ABJM theory

    Corresponding author: Hao Ouyang,
    Corresponding author: Jun-Bao Wu,
    Corresponding author: Jia-Ju Zhang,
  • 1. Theoretical Physics Division, Institute of High Energy Physics, Chinese Academy of Sciences,19B Yuquan Rd, Beijing 100049, China
  • 2. Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences,19B Yuquan Rd, Beijing 100049, China
  • 3. Center for High Energy Physics, Peking University, 5 Yiheyuan Rd, Beijing 100871, China
Fund Project:  Supported by NSFC (11222549, 11575202), K. C. Wong Education Foundation and Youth Innovation Promotion Association of CAS (2011016)

Abstract: We investigate the exact results for circular 1/4 and 1/2 BPS Wilson loops in the d=3 N=4 super Chern-Simons-matter theory that could be obtained by orbifolding Aharony-Bergman-Jafferis-Maldacena (ABJM) theory. The partition function of the 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.

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