MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Super-Liouville Equations on Closed Riemann Surfaces

Jürgen Jost, Guofang Wang and Chunqin Zhou


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.

super-liouville equations, spinor field, blow-up analysis

Related publications

2007 Repository Open Access
Jürgen Jost, Guofang Wang and Chunqin Zhou

Super-Liouville equations on closed Riemann surfaces

In: Communications in partial differential equations, 32 (2007) 7/9, pp. 1103-1128