Super-Liouville equations on closed Riemann surfaces

作者:Jost, Juergen*; Wang, Guofang; Zhou, Chunqin
来源:Communications in Partial Differential Equations, 2007, 32(7-9): 1103-1128.
DOI:10.1080/03605300600962663

摘要

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.