The Super-Toda System and Bubbling of Spinors

2017/09/02 by Jost, Jürgen, Zhou, Chunqin, Zhu, Miaomiao
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1709.00593

Abstract

We introduce the super-Toda system on Riemann surfaces and study the blow-up analysis for a sequence of solutions to the super-Toda system on a closed Riemann surface with uniformly bounded energy. In particular, we show the energy identities for the spinor parts of a blow-up sequence of solutions for which there are possibly four types of bubbling solutions, namely, finite energy solutions of the super-Liouville equation or the super-Toda system defined on \R² or on \R²∖\0\. This is achieved by showing some new energy gap results for the spinor parts of these four types of bubbling solutions.

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