MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

The super-Toda system and bubbling of spinors

Jürgen Jost, Chunqin Zhou and Miaomiao Zhu


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 $\mathbb{R}^2$ or on $\mathbb{R}^2 \setminus \{0\}$. This is achieved by showing some new energy gap results for the spinor parts of these four types of bubbling solutions.

super-Toda system, blow-up, energy identity, concentration compactness

Related publications

2019 Repository Open Access
Jürgen Jost, Chunqin Zhou and Miaomiao Zhu

The super-Toda system and bubbling of spinors

In: Journal of functional analysis, 276 (2019) 2, pp. 410-446