A local fermion update algorithm for SYM quantum mechanics

TL;DR

This paper introduces a local fermion update algorithm for N=4 supersymmetric Yang-Mills quantum mechanics, enabling simulations in fixed sectors and exploring phenomena like flat directions and metastabilities.

Contribution

The paper presents a novel local fermion update algorithm tailored for SYM quantum mechanics, facilitating fixed sector simulations and analysis of its physical properties.

Findings

Bosonic potential exhibits flat directions and metastabilities.

Bosonic field modulus diverges in certain fermion sectors and thermal conditions.

Algorithm enables detailed exploration of SYM quantum mechanics dynamics.

Abstract

We present a local fermion update algorithm for N=4 supersymmetric Yang-Mills quantum mechanics which allows simulations in fixed canonical sectors. We discuss some aspects of the physics of this theory, including the appearance of flat directions in the bosonic potential and the metastabilities related to those. In particular, we show that the modulus of the bosonic fields diverges in some of the fermion sectors and for thermal boundary conditions.