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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.