A supermatrix model for N=6 super Chern-Simons-matter theory

被引:0
作者
Drukker, Nadav [1 ]
Trancanelli, Diego [2 ,3 ]
机构
[1] Humboldt Univ, Inst Phys, D-12489 Berlin, Germany
[2] Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
[3] Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USA
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2010年 / 02期
基金
美国国家科学基金会;
关键词
Matrix Models; Supersymmetric gauge theory; AdS-CFT Correspondence; Chern-Simons Theories; 2-DIMENSIONAL QCD; WILSON LOOPS;
D O I
10.1007/JHEP02(2010)058
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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 CP3. 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 vertical bar 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 vertical bar M).
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页数:21
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