Super-Liouville Equations on Closed Riemann Surfaces

Mathematics – Differential Geometry

Scientific paper

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Scientific paper

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.

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