Nonperturbative phase diagram of two-dimensional N=(2, 2) super-Yang-Mills theory

Abstract

We consider two-dimensional N=(2,2) Yang-Mills theory with gauge group SU(N) in Euclidean signature compactified on a torus with thermal fermion boundary conditions imposed on one cycle. We perform nonperturbative lattice analyses of this theory for large 12≤N≤20. Although no holographic dual of this theory is yet known, we conduct numerical investigations to check for features similar to the two-dimensional N=(8,8) Yang–Mills theory, which has a well-defined gravity dual. We perform lattice field theory calculations to determine the phase diagram, observing a spatial deconfinement transition similar to the maximally supersymmetric case. However, the transition does not continue to low temperature, implying the absence of a topology-changing transition between black hole geometries in any holographic dual for this four-supercharge theory. Published by the American Physical Society 2024