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 AdS4×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)×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).

A supermatrix model for N= 6 super Chern-Simons-matter theory / Drukker, Nadav; Trancanelli, Diego. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2010:2(2010), pp. N/A-N/A. [10.1007/JHEP02(2010)058]

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

Trancanelli, Diego
2010

Abstract

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 AdS4×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)×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).
2010
2010
2
N/A
N/A
A supermatrix model for N= 6 super Chern-Simons-matter theory / Drukker, Nadav; Trancanelli, Diego. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2010:2(2010), pp. N/A-N/A. [10.1007/JHEP02(2010)058]
Drukker, Nadav; Trancanelli, Diego
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1177386
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