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

Dirac-Harmonic Maps

Qun Chen, Jürgen Jost, Jiayu Li and Guofang Wang


We introduce a functional that couples the nonlinear sigma model with a spinor field: $L=\int_M[|d\phi|^2+(\psi,D\psi)]$. In two dimensions, it is conformally invariant. The critical points of this functional are called Dirac-harmonic maps. We study some geometric and analytic aspects of such maps, in particular a removable singularity theorem.


Related publications

2006 Repository Open Access
Qun Chen, Jürgen Jost, Jiayu Li and Guofang Wang

Dirac-harmonic maps

In: Mathematische Zeitschrift, 254 (2006) 2, pp. 409-432