Super Liouville equations on the 2-sphere

Abstract: The 2D super Liouville equations, from the super Liouville field theory, is a conformally invariant system which couples the classical Liouville equation with a Dirac equation. We are interested in the existence of nontrivial solutions. Aside from those known solutions induced from prescribing curvature equations and those from Killing spinors, we introduced an additional (but natural) parameter and obtained new solutions via bifurcation theory. This is a joint work with A. Malchiodi and A. Jevnikar.

mathematical physicsanalysis of PDEsdifferential geometryfunctional analysis

Audience: researchers in the topic

Online Seminar "Geometric Analysis"

Series comments: We discuss recent trends related to geometric analysis in a broad sense. The general idea is to solve geometric problems by means of advanced tools in analysis. We will include a wide range of topics such as geometric flows, curvature functionals, discrete differential geometry, and numerical simulation.

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