Non-lattice simulation for supersymmetric gauge theories in one dimension

TL;DR

This paper introduces a non-lattice simulation method for one-dimensional supersymmetric gauge theories, addressing challenges faced by traditional lattice approaches, especially related to fermions and supersymmetry preservation.

Contribution

The authors propose a novel non-lattice approach for simulating 1D supersymmetric gauge theories, avoiding fine-tuning and fermionic complications inherent in lattice formulations.

Findings

Successful formulation of non-lattice simulation for 1D supersymmetric theories

Circumvents fermionic and supersymmetry-breaking issues of lattice methods

Applicable to theories relevant in string/M theory contexts

Abstract

Lattice simulation of supersymmetric gauge theories is not straightforward. In some cases the lack of manifest supersymmetry just necessitates cumbersome fine-tuning, but in the worse cases the chiral and/or Majorana nature of fermions makes it difficult to even formulate an appropriate lattice theory. We propose to circumvent all these problems inherent in the lattice approach by adopting a non-lattice approach in the case of one-dimensional supersymmetric gauge theories, which are important in the string/M theory context.