Phase Structure of Lattice N=4 Super Yang-Mills

TL;DR

This paper investigates the phase diagram of four-dimensional N=4 super Yang-Mills theory on a lattice, finding evidence for a single deconfined phase across various couplings, while preserving supersymmetry.

Contribution

First lattice study of 4D N=4 super Yang-Mills that maintains gauge invariance and exact supersymmetry, providing new insights into its phase structure.

Findings

Evidence for a single deconfined phase across couplings

Lattice formulation preserves supersymmetry at all scales

Numerical results support theoretical expectations

Abstract

We make a first study of the phase diagram of four-dimensional N=4 super Yang-Mills theory regulated on a space-time lattice. The lattice formulation we employ is both gauge invariant and retains at all lattice spacings one exactly preserved supersymmetry charge. Our numerical results are consistent with the existence of a single deconfined phase at all observed values of the bare coupling.