Supersymmetry in QCD$_2$ coupled to fermions

We consider $1+1$ dimensional Yang-Mills theory with gauge group $G$ coupled to a massive Majorana fermion field in an adjoint representation and a number of massless Dirac or Majorana fermions transforming in arbitrary representations of the gauge group $G$. It is shown that the spectrum of the mas...

Full description

Saved in:
Bibliographic Details
Main Author Popov, Fedor K
Format Journal Article
LanguageEnglish
Published 08.02.2022
Subjects
Physics - High Energy Physics - Theory
Online AccessGet full text

Cover

More Information
Summary:We consider $1+1$ dimensional Yang-Mills theory with gauge group $G$ coupled to a massive Majorana fermion field in an adjoint representation and a number of massless Dirac or Majorana fermions transforming in arbitrary representations of the gauge group $G$. It is shown that the spectrum of the massive sector of this theory becomes supersymmetric at particular mass of adjoint fermion. This mass is independent of the detailed structure of the massless sector of the model and depends only on the gauge group $G$ and integer $k$ measuring the total anomaly. The massless sector of the model is shown to be not necessarily supersymmetric.
DOI:10.48550/arxiv.2202.04017