Massive deformations of supersymmetric Yang-Mills matrix models

TL;DR

This paper classifies all supersymmetry-preserving mass deformations of supersymmetric Yang-Mills matrix models across various dimensions, identifying unique models with potential for non-perturbative studies.

Contribution

It provides a complete classification of supersymmetry-preserving mass deformations in SYM matrix models for all dimensions, highlighting specific models suitable for numerical analysis.

Findings

In D=10, the polarized IKKT model is the only deformation.

In D=4, two massive models without sign problem are identified.

The classification aids in non-perturbative numerical studies of SYM models.

Abstract

We systematically classify all supersymmetry-preserving mass deformations of SYM matrix models in all dimensions (D = 3, 4, 6, 10). In D = 10, the polarized IKKT model emerges as the only possible deformation. In D = 4, we identify two massive models without a sign problem, making them attractive candidates for non-perturbative numerical studies.