Super Riemann surfaces, metrics, and gravitinos

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.

References in corpus (1)

• Global Analytic Approach to Super Teichmueller Spaces

Cited by in corpus (9)

• Regularity of Solutions of the Nonlinear Sigma Model with Gravitino
• Symmetries and conservation laws of a nonlinear sigma model with gravitino
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• Super fiber bundles, connection forms, and parallel transport
• The functional of super Riemann surfaces -- a "semi-classical" survey
• Energy quantization for a nonlinear sigma model with critical gravitinos
• Super Riemann Surfaces and the Super Conformal Action Functional
• Coarse Regularity of Solutions to a Nonlinear Sigma-model with~$L^p$~gravitino
• Super $J$-holomorphic Curves: Construction of the Moduli Space