Supersymmetric Wilson loops with general contours in ABJM theory

Abstract

We consider general supersymmetric Wilson loops in ABJM model, i.e. Chern-Simons-matter theory in 2+1 dimensions with N=6 supersymmetry. They are so-called Zarembo-type: the Wilson loops of our interest have generic contours in spacetime, but the scalar field coupling is arranged accordingly so that there are unbroken supersymmetries. Based on the supermatrix formulation of Wilson loops by Drukker and Trancanelli, we construct explicitly 1/6-BPS Wilson loops and check that their expectation value is protected using perturbation up to two loops. We also study the dual string configuration in AdS4 x CP3 background and check the supersymmetry.

v2: 17 pages, no figure. The result of arXiv:1209.4032 is cited more appropriately

References in corpus (8)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• Holographic Wilson Loops
• Wilson Loops of Anti-symmetric Representation and D5-branes
• Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual
• Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
• 1/2-BPS Wilson Loops and Vortices in ABJM Model
• Calibrated Surfaces and Supersymmetric Wilson Loops

Cited by in corpus (11)

• Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory
• ABJM Wilson Loops in Arbitrary Representations
• Construction and classification of novel BPS Wilson loops in quiver Chern-Simons-matter theories
• Novel BPS Wilson loops in three-dimensional quiver Chern-Simons-matter theories
• New BPS Wilson loops in $\mathcal{N}\text{= 4}$ circular quiver Chern-Simons-matter theories
• BPS Wilson loops in Minkowski spacetime and Euclidean space
• Holographical Description of BPS Wilson Loops in Flavored ABJM Theory
• Wilson loops in N=6 superspace for ABJM theory
• Loop Operators in Three-Dimensional $\mathcal{N}=2$ Fishnet Theories
• BPS $M2$-branes in $Ad{S}_4\times Q^{1,1,1}$ Dual to Loop Operators
• M5-branes in AdS${}_4\times Q^{1,1,1}$ spacetime