English

Dirac-harmonic maps with potential

Differential Geometry 2022-07-12 v2 Mathematical Physics Analysis of PDEs math.MP

Abstract

We study the influence of an additional scalar potential on various geometric and analytic properties of Dirac-harmonic maps. We will create a mathematical wish list of the possible benefits from inducing the potential term and point out that the latter cannot be achieved in general. Finally, we focus on several potentials that are motivated from supersymmetric quantum field theory.

Keywords

Cite

@article{arxiv.1912.01885,
  title  = {Dirac-harmonic maps with potential},
  author = {Volker Branding},
  journal= {arXiv preprint arXiv:1912.01885},
  year   = {2022}
}
R2 v1 2026-06-23T12:35:25.478Z