Lattice four-dimensional N=4 SYM is practical

TL;DR

This paper demonstrates that nonperturbative lattice simulations of four-dimensional N=4 Super-Yang-Mills theory are feasible by employing Ginsparg-Wilson fermions and exact chiral R-symmetry, simplifying the tuning process.

Contribution

It introduces a practical lattice formulation for N=4 SYM that minimizes fine-tuning through exact symmetries and reweighting techniques.

Findings

Ginsparg-Wilson fermions avoid gluino masses

Exact R-symmetry reduces counterterms

Tuning can be performed offline using reweighting

Abstract

We show that nonperturbative lattice studies of four-dimensional N=4 Super-Yang-Mills are within reach. We use Ginsparg-Wilson fermions to avoid gluino masses and an exact implementation of the (chiral) $R$-symmetry, which greatly limits the number of counterterms that must be fine-tuned. Only bosonic operators require fine tuning, so all tunings can be done ``offline'' by a Ferrenberg-Swendsen type reweighting. We show what measurables can be used to perform the tuning.