Mesonic Spectrum of Two Dimensional Supersymmetric Theories

TL;DR

This paper investigates the bound state spectra of two-dimensional supersymmetric gauge theories, revealing convergence properties, critical couplings for massless states, and differences in spectral behavior depending on scalar content.

Contribution

It provides the first detailed analysis of the mesonic spectra in 2D supersymmetric theories derived from 3D SQCD, including continuum limits and spectral characteristics.

Findings

Models without adjoint scalars have well-defined continuum spectra.

A critical coupling value induces a massless state in some models.

Models with adjoint scalars exhibit a continuous mass spectrum.

Abstract

We consider a bound state problem for a family of supersymmetric gauge theories with fundamental matter. These theories can be obtained by a dimensional reduction of supersymmetric QCD from three dimensions to 1+1 and subsequent truncation of some of the fields. We find that the models without adjoint scalar converge to well-defined continuum limits and calculate the resulting spectra of these theories. We also find the critical value of coupling at which an additional massless state is observed. By contrast, the models containing adjoint scalars, seem to have a continuous mass spectrum in the limit of infinite volume.