An update on supersphere non linear sigma model on the lattice

Ilaria Costa; Valentina Forini; Agostino Patella; Johannes Heinrich Weber

paper

An update on supersphere non linear sigma model on the lattice

arXiv:2406.05018

Abstract

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

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