Super-Symmetric Coupling: Existence and Multiplicity

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.

25 pages

References in corpus (2)

• Particle-Like Solutions of the Einstein-Dirac Equations
• Periodic nonlinear Schrödinger equation with application to photonic crystals