English

Super-Symmetric Coupling: Existence and Multiplicity

Analysis of PDEs 2017-05-16 v1 Differential Geometry

Abstract

In this paper we provide a method to study critical points of strongly indefinite functionals on vector bundles. We focus mainly on energy functionals coupled with a fermionic part, that is with a Dirac-type operator. We consider the cases of the perturbed Dirac-Geodesics problem and the Yang-Mills-Dirac type equation in dimension two.

Keywords

Cite

@article{arxiv.1705.05266,
  title  = {Super-Symmetric Coupling: Existence and Multiplicity},
  author = {Ali Maalaoui},
  journal= {arXiv preprint arXiv:1705.05266},
  year   = {2017}
}

Comments

25 pages

R2 v1 2026-06-22T19:47:21.267Z