An update on supersphere non linear sigma model on the lattice

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.

Comments: 12 pages, 14 figures, Contribution to the Proceedings European network for Particle physics, Lattice field theory and Extreme computing,