Ruijun Wu - Super Liouville equations on the 2-sphere

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.