Super-Liouville Equations on Closed Riemann Surfaces
Jürgen Jost, Guofang Wang, and Chunqin Zhou
Contact the author: Please use for correspondence this email.
Submission date: 20. Dec. 2005
published in: Communications in partial differential equations, 32 (2007) 7/9, p. 1103-1128
DOI number (of the published article): 10.1080/03605300600962663
Keywords and phrases: super-liouville equations, spinor field, blow-up analysis
Download full preprint: PDF (290 kB), PS ziped (263 kB)
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.