Lattice Formulation of ${\cal N} = 2^*$ Yang-Mills

TL;DR

This paper develops a lattice formulation of ${ m N}=2^*$ supersymmetric Yang-Mills theory that preserves some supersymmetry and gauge invariance, enabling nonperturbative studies relevant to gauge-gravity duality.

Contribution

It introduces a new lattice formulation of ${ m N}=2^*$ SYM using topological twisting that maintains a scalar supersymmetry at finite lattice spacing.

Findings

The lattice theory is local and gauge invariant.

It is free from fermion doublers.

Enables nonperturbative studies of gauge-gravity duality.

Abstract

We formulate ${\cal N} = 2^*$ supersymmetric Yang-Mills theory on a Euclidean spacetime lattice using the method of topological twisting. The lattice formulation preserves one scalar supersymmetry charge at finite lattice spacing. The lattice theory is also local, gauge invariant and free from doublers. We can use the lattice formulation of ${\cal N} = 2^*$ supersymmetric Yang-Mills to study finite temperature nonperturbative sectors of the theory and thus validate the gauge-gravity duality conjecture in a nonconformal theory.