Super Riemann surfaces, metrics, and gravitinos
Mathematical Physics
2019-11-19 v2 Differential Geometry
math.MP
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.
Keywords
Cite
@article{arxiv.1412.5146,
title = {Super Riemann surfaces, metrics, and gravitinos},
author = {Jürgen Jost and Enno Keßler and Jürgen Tolksdorf},
journal= {arXiv preprint arXiv:1412.5146},
year = {2019}
}