Wilson loops in 3d $\mathcal{N}=4$ SQCD from Fermi gas

Abstract

We study 1/2 BPS Wilson loops in 3d $\mathcal{N}=4$ $U(N)$ Yang-Mills theory with one adjoint and $N_f$ fundamental hypermultiplets from the Fermi gas approach. By numerical fitting, we find the first few worldsheet instanton corrections to the Wilson loops with winding numbers 1, 2 and 3. We verify that our Fermi gas results are consistent with the matrix model results in the planar limit.

arXiv comment34 pages, 8 figures

References in corpus (33)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• Mirror Symmetry in Three Dimensional Gauge Theories
• Fractional M2-branes
• From weak to strong coupling in ABJM theory
• ABJM theory as a Fermi gas
• Mirror Symmetry in Three-Dimensional Gauge Theories, Quivers and D-branes
• Non-perturbative effects and the refined topological string
• Quantum Geometry of Refined Topological Strings
• Instanton Effects in ABJM Theory from Fermi Gas Approach
• Numerical studies of the ABJM theory for arbitrary N at arbitrary coupling constant
• Exact Solution of the O(n) Model on a Random Lattice
• Instanton Bound States in ABJM Theory
• Exact Results on the ABJM Fermi Gas
• More on the exact solution of the O(n) model on a random lattice and an investigation of the case |n|>2
• Probing non-perturbative effects in M-theory
• Three-sphere free energy for classical gauge groups
• Exact ABJM Partition Function from TBA
• ABJ Fractional Brane from ABJM Wilson Loop
• M-theoretic matrix models
• ABJM Wilson Loops in Arbitrary Representations
• Partition Functions of Superconformal Chern-Simons Theories from Fermi Gas Approach
• Proofs of Two Conjectures Related to the Thermodynamic Bethe Ansatz
• A Note on the Partition Function of ABJM theory on S^3
• Partition functions of 3d $\hat{D}$-quivers and their mirror duals from 1d free fermions
• Spectral zeta function and non-perturbative effects in ABJM Fermi-gas
• A profusion of $1/2$ BPS Wilson loops in $\mathcal{N}=4$ Chern-Simons-matter theories
• Orientifolding of the ABJ Fermi gas
• Enumeration of maps with self avoiding loops and the O(n) model on random lattices of all topologies
• Probing non-perturbative effects in M-theory on orientifolds
• On Large N Solution of N=3 Chern-Simons-adjoint Theories
• Instanton Corrections of 1/6 BPS Wilson Loops in ABJM Theory
• Exact results for ABJ Wilson loops and open-closed duality