An update on supersphere non linear sigma model on the lattice

TL;DR

This paper presents a numerical study of a supersphere non-linear sigma model on a lattice, analyzing two-point functions for specific cases and discussing the sign problem in the context of supersymmetry.

Contribution

It provides the first numerical analysis of the supersphere sigma model on the lattice for certain cases, exploring bosonic and fermionic correlators and the sign problem.

Findings

Results are consistent with supersymmetric expectations.

Preliminary data on two-point functions for $OSp(3|2)$ and $OSp(5|2)$.

Discussion of the sign problem in supersymmetric lattice models.

Abstract

We consider the discretized version of the sigma-model with supersphere target space $OSp(N+2m|2m)/OSp(N+2m-1|2m)$ and present a preliminary numerical study of bosonic and fermionic two-point functions for the cases $OSp(3|2)$ and $OSp(5|2)$. We observe consistency with the expectations of this supersymmetric setup and discuss the sign problem.