English

Super-Liouville Equations on Closed Riemann Surfaces

Differential Geometry 2007-05-23 v1 Analysis of PDEs

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.

Keywords

Cite

@article{arxiv.math/0511230,
  title  = {Super-Liouville Equations on Closed Riemann Surfaces},
  author = {Juergen Jost and Guofang Wang and Chunqin Zhou},
  journal= {arXiv preprint arXiv:math/0511230},
  year   = {2007}
}
R2 v1 2026-07-22T17:27:09.827Z