A Supermatrix model for N=6 super Chern-Simons-matter theory
Dec, 200923 pages
Published in:
- JHEP 02 (2010) 058
e-Print:
- 0912.3006 [hep-th]
Report number:
- HU-EP-09-30,
- NSF-KITP-09-120
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Abstract: (arXiv)
We construct the Wilson loop operator of N=6 super Chern-Simons-matter which is invariant under half of the supercharges of the theory and is dual to the simplest macroscopic open string in AdS_4 x CP^3. The Wilson loop couples, in addition to the gauge and scalar fields of the theory, also to the fermions in the bi-fundamental representation of the U(N) x U(M) gauge group. These ingredients are naturally combined into a superconnection whose holonomy gives the Wilson loop, which can be defined for any representation of the supergroup U(N|M). Explicit expressions for loops supported along an infinite straight line and along a circle are presented. Using the localization calculation of Kapustin et al. we show that the circular loop is computed by a supermatrix model and discuss the connection to pure Chern-Simons theory with supergroup U(N|M).Note:
- 23 pages
- Matrix Models
- Supersymmetric gauge theory
- AdS-CFT Correspondence
- Chern-Simons Theories
- string: open
- matrix model
- Wilson loop
- Chern-Simons term
- space-time: anti-de Sitter
- supercharge
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