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arXiv · 1412.5146

Super Riemann surfaces, metrics, and gravitinos

Jürgen Jost·Enno Keßler·Jürgen Tolksdorf
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Abstract

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.

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Jürgen Jost, Enno Keßler, Jürgen Tolksdorf. 2014-12-16. Super Riemann surfaces, metrics, and gravitinos. https://doi.org/10.4310/atmp.2017.v21.n5.a2

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