Dirac-harmonic maps with torsion

TL;DR

This paper explores Dirac-harmonic maps with torsion from surfaces to manifolds, motivated by superstring theory, analyzing their properties and establishing an existence result for certain solutions.

Contribution

It introduces the study of Dirac-harmonic maps with torsion, providing new insights into their analytic and geometric features and proving an existence theorem for uncoupled solutions.

Findings

Analysis of geometric properties of Dirac-harmonic maps with torsion

Outline of an existence result for uncoupled solutions

Connection to superstring action in theoretical physics

Abstract

We study Dirac-harmonic maps from surfaces to manifolds with torsion, which is motivated from the superstring action considered in theoretical physics. We discuss analytic and geometric properties of such maps and outline an existence result for uncoupled solutions.