Super-Liouville Equations on Closed Riemann Surfaces

2005/11/09 by Jost, Juergen, Wang, Guofang, Zhou, Chunqin · 3 citations
#35J60 #53C28 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0511230

Abstract

Motivated by the supersymmetric extension of Liouville theory in the recent physics literature, we couple the standard Liouville functional with a spinor field term. The resulting functional is conformally invariant. We study geometric and analytic aspects of the resulting Euler-Lagrange equations, culminating in a blow up analysis.

Cited by

• Super-Liouville equation with a spinorial Yamabe type term
• Stability of spinorial Sobolev inequalities on \mathbbSⁿ
• Weighted eigenvalues of Dirac operators: complete continuity and comparison

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