分类: 物理学 >> 核物理学 提交时间: 2016-09-14
摘要: In this paper, we construct novel Drukker-Trancanelli (DT) type BPS Wilson loops along infinite straight lines in燦=2,3爍uiver super Chern-Simons-matter (CSM) theories, Aharony-Bergman-Jafferis-Maldacena (ABJM) theory, and燦=4爋rbifold ABJM theory. There are several free complex parameters in the DT type BPS Wilson loops, and for Wilson loops in ABJM theory and燦=4爋rbifold ABJM theory there are supersymmetry enhancements at special values of the parameters. We check that the differences of the DT type and Gaiotto-Yin (GY) type Wilson loops are燪-exact with燪燽eing some supercharges preserved by both the DT type and GY type Wilson loops. The results would be useful to calculate vacuum expectation values of the Wilson loops in matrix models if they are still BPS quantum mechanically.
分类: 物理学 >> 核物理学 提交时间: 2016-09-14
摘要: We investigate the exact results for circular 1/4 and 1/2 BPS Wilson loops in the d = 3 N = 4super Chern-Simons-matter theory that could be obtained by orbifolding Aharony-Bergman-Jafferis-Maldacena (ABJM) theory. In literature there is the partition function of the N= 4 orbifold ABJM theory, and in this paper we re-derive it in a slightly different method. We calculate the vacuum expectation values of the circular 1/4 BPS Wilson loops in fundamental representation and 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 ones.