N=2 Supersymmetric Model with Dirac-Kahler Fermions from Generalized Gauge Theory in Two Dimensions

TL;DR

This paper demonstrates how a generalized gauge theory in two dimensions can produce a twisted N=2 supersymmetric action, linking topological ghost fields to Dirac-Kahler fermions through a twist.

Contribution

It shows that in two dimensions, a generalized gauge theory yields a twisted N=2 supersymmetric model with R-symmetry identified as flavor symmetry, connecting topological and Dirac-Kahler fermions.

Findings

Twisted N=2 supersymmetry arises from generalized gauge theory.

R-symmetry corresponds to flavor symmetry of Dirac-Kahler fermions.

Topological ghost fields are interpreted as Dirac-Kahler matter fermions.

Abstract

We investigate the generalized gauge theory which has been proposed previously and show that in two dimensions the instanton gauge fixing of the generalized topological Yang-Mills action leads to a twisted N=2 supersymmetric action. We have found that the R-symmetry of N=2 supersymmetry can be identified with the flavour symmetry of Dirac-Kahler fermion formulation. Thus the procedure of twist allows topological ghost fields to be interpreted as the Dirac-Kahler matter fermions.