arXiv:1705.05266 Abstract | arXiv Analytics

arXiv:1705.05266 [math.AP]Abstract References Reviews Resources

Super-Symmetric Coupling: Existence and Multiplicity

Published 2017-05-15Version 1

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.

Comments: 25 pages

Categories: math.AP, math.DG

Keywords: super-symmetric coupling, multiplicity, yang-mills-dirac type equation, fermionic part, vector bundles

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