A supermatrix model for $$ \mathcal{N} $$ = 6 super Chern-Simons-matter theory
A supermatrix model for $$ \mathcal{N} $$ = 6 super Chern-Simons-matter theory
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DOI：
10.1007/jhep02(2010)058
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发表时间：
2009-12
影响因子：
5.4
通讯作者：
N. Drukker;Diego Trancanelli
中科院分区：
文献类型：
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作者：
N. Drukker;Diego Trancanelli
我们构造了= 6超chen - simons -matter的Wilson环算子，该算子在理论的一半超载荷下是不变的，并且对偶于AdS 4x 3中最简单的宏观开弦。除了理论的规范场和标量场之外，威尔逊环耦合也与U (N)× U (M)规范群的双基表示中的费米子耦合。这些成分自然地组合成一个超连接，其完整性给出了威尔逊环，该环可以定义为任何超群U （N| M）的表示。给出了沿无限直线和沿圆支撑的环的显式表达式。利用Kapustin等人的局域化计算，我们证明了环是用超矩阵模型计算的，并讨论了它与具有超群U （N| M）的纯chen - simons理论的联系。
We construct the Wilson loop operator of= 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× 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)× 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).