Super-Symmetric Coupling: Existence and Multiplicity
classification
🧮 math.AP
math.DG
keywords
functionalsbundlescasesconsidercoupledcouplingcriticaldimension
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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.
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