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.

arXiv comment40 pages, 12 figures

References in corpus (36)

• The Large N Limit of Superconformal Field Theories and Supergravity
• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• From weak to strong coupling in ABJM theory
• Entropy of Near-Extremal Black p-branes
• ABJM theory as a Fermi gas
• Disk Instantons, Mirror Symmetry and the Duality Web
• Non-perturbative effects and the refined topological string
• Nonperturbative aspects of ABJM theory
• Exact Results in ABJM Theory from Topological Strings
• A supermatrix model for N=6 super Chern-Simons-matter theory
• Quantum Geometry of Refined Topological Strings
• Instanton Effects in ABJM Theory from Fermi Gas Approach
• Wilson loops in 3-dimensional N=6 supersymmetric Chern-Simons Theory and their string theory 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
• Numerical studies of the ABJM theory for arbitrary N at arbitrary coupling constant
• Instanton Bound States in ABJM Theory
• Membrane instantons from a semiclassical TBA
• Exact Results on the ABJM Fermi Gas
• Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory
• New Exact Quantization Condition for Toric Calabi-Yau Geometries
• Probing non-perturbative effects in M-theory
• ABJ Fractional Brane from ABJM Wilson Loop
• Exact ABJM Partition Function from TBA
• ABJM Wilson Loops in Arbitrary Representations
• Proofs of Two Conjectures Related to the Thermodynamic Bethe Ansatz
• A Note on the Partition Function of ABJM theory on S^3
• ABJM Wilson loops in the Fermi gas approach
• Spectral zeta function and non-perturbative effects in ABJM Fermi-gas
• Exact eigenfunctions and the open topological string
• Orientifolding of the ABJ Fermi gas
• Comments on Exact Quantization Conditions and Non-Perturbative Topological Strings
• ABJ Wilson loops and Seiberg Duality
• A Note on Instanton Effects in ABJM Theory

Cited by in corpus (8)

• The Topologically Twisted Index in the 't Hooft Limit and the Dual AdS${}_4$ Black Hole Entropy
• A matrix model for the latitude Wilson loop in ABJM theory
• One-loop Holography with Strings in $Ad{S}_4\times {\mathbb{CP}}^3$
• Matching quantum string corrections and circular Wilson loops in $Ad{S}_4\times C{P}^3$
• Higher Rank ABJM Wilson Loops from Matrix Models
• Two-Point Functions in ABJM Matrix Model
• 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