MiS Preprint Repository

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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.

Dec 18, 2014
Jan 5, 2015

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