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

Super Riemann surfaces, metrics, and gravitinos

Jürgen Jost, Enno Keßler and Jürgen Tolksdorf


The underlying even manifold of a super Riemann surface is a Riemann surface with a spinor valued differential form called gravitino. Consequently infinitesimal deformations of super Riemann surfaces are certain infinitesimal deformations of the Riemann surface and the gravitino. Furthermore the action functional of non-linear super symmetric sigma models, the action functional underlying string theory, can be obtained from a geometric action functional on super Riemann surfaces. All invariances of the super symmetric action functional are explained in super geometric terms and the action functional is a functional on the moduli space of super Riemann surfaces.


Related publications

2017 Repository Open Access
Jürgen Jost, Enno Keßler and Jürgen Tolksdorf

Super Riemann surfaces, metrics, and gravitinos

In: Advances in theoretical and mathematical physics, 21 (2017) 5, pp. 1161-1187