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arXiv · 1709.00593

The Super-Toda System and Bubbling of Spinors

Jürgen Jost·Chunqin Zhou·Miaomiao Zhu
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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 $\R^2$ or on $\R^2\setminus\{0\}$. 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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Jürgen Jost, Chunqin Zhou, Miaomiao Zhu. 2017-09-02. The Super-Toda System and Bubbling of Spinors. https://arxiv.org/abs/1709.00593

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