Instanton Corrections of 1/6 BPS Wilson Loops in ABJM Theory

Abstract

We study instanton corrections to the vacuum expectation value (VEV) of 1/6 BPS Wilson loops in ABJM theory from the Fermi gas approach. We mainly consider Wilson loops in the fundamental representation and winding Wilson loops, but we also initiate the study of Wilson loops with two boundaries. We find that the membrane instanton corrections to the Wilson loop VEV are determined by the refined topological string in the Nekrasov-Shatashvili limit, and the pole cancellation mechanism between membrane instantons and worldsheet instantons works also in the Wilson loop VEVs as in the case of the partition functions.

40 pages, 12 figures

References in corpus (7)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• 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
• Probing non-perturbative effects in M-theory
• Exact ABJM Partition Function from TBA
• ABJ Wilson loops and Seiberg Duality
• A Note on Instanton Effects in ABJM Theory

Cited by in corpus (2)

• BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
• Wilson loops in 3d $\mathcal{N}=4$ SQCD from Fermi gas