Numerical Simulations of N=(1,1) SYM{1+1} with Large Supersymmetry Breaking

TL;DR

This paper explores the numerical simulation of N=(1,1) supersymmetric Yang-Mills theory in 1+1 dimensions with large supersymmetry breaking, comparing different mass regimes and their impact on the theory's spectrum.

Contribution

It introduces a detailed numerical analysis of supersymmetry breaking effects in N=(1,1) SYM using SDLCQ, highlighting the necessity of additional operators for certain mass configurations.

Findings

Large boson mass requires additional operators for sensible results.

Large fermion mass does not require additional operators.

The adjoint boson theory exhibits stringy bound states similar to full SYM.

Abstract

We consider the $N=(1,1)$ SYM theory that is obtained by dimensionally reducing SYM theory in 2+1 dimensions to 1+1 dimensions and discuss soft supersymmetry breaking. We discuss the numerical simulation of this theory using SDLCQ when either the boson or the fermion has a large mass. We compare our result to the pure adjoint fermion theory and pure adjoint boson DLCQ calculations of Klebanov, Demeterfi, and Bhanot and of Kutasov. With a large boson mass we find that it is necessary to add additional operators to the theory to obtain sensible results. When a large fermion mass is added to the theory we find that it is not necessary to add operators to obtain a sensible theory. The theory of the adjoint boson is a theory that has stringy bound states similar to the full SYM theory. We also discuss another theory of adjoint bosons with a spectrum similar to that obtained by Klebanov, Demeterfi, and Bhanot.