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

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 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).

23 pages

References in corpus (21)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
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• Algebraic structures on parallel M2-branes
• Fractional M2-branes
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Cited by in corpus (148)

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• Exact Results in ABJM Theory from Topological Strings
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• Supersymmetric Mixed Boundary Conditions in AdS${}_2$ and DCFT${}_1$ Marginal Deformations
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• Classifying Superconformal Defects in Diverse Dimensions Part I: Superconformal Lines
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• Bootstrap of the defect 1/2 BPS Wilson lines in N=4 Chern-Simons-matter theories
• M5-branes in AdS${}_4\times Q^{1,1,1}$ spacetime
• Framing fermionic Wilson loops in ABJ(M)
• $\mathcal{N}=3$ Harmonic Super-Wilson Loop
• Linear Chern-Simons-matter Theories in the Planar Limit
• On refined Chern-Simons and refined ABJ matrix models
• Notes on Planar Resolvents of Chern-Simons-matter Matrix Models
• Boundary bound states and integrable Wilson loops in ABJM
• Universal sectors in superconformal defects
• A network of hyperloops
• Holographic Wilson Loop One-point Functions in ABJM Theory
• The ${\mathcal{N}}_3=3\to {\mathcal{N}}_3=4$ enhancement of Super Chern-Simons theories in $D=3$, Calabi HyperKähler metrics and M2-branes on the $\mathcal{C}({\mathrm{N}}^{0,1,0})$ conifold