Preprint 82/2015

Super Riemann Surfaces and the Super Conformal Action Functional

Enno Keßler

Contact the author: Please use for correspondence this email.
Submission date: 01. Dec. 2015
Pages: 20
published in: Quantum mathematical physics : a bridge between mathematics and physics / F.Finster ... (eds.)
Basel : Birkhäuser, 2016. - P. 401 - 419 
DOI number (of the published article): 10.1007/978-3-319-26902-3_17
Bibtex
Download full preprint: PDF (460 kB)

Abstract:
Riemann surfaces are two-dimensional manifolds with a conformal class of metrics. It is well known that the harmonic action functional and harmonic maps are tools to study the moduli space of Riemann surfaces. Super Riemann surfaces are an analogue of Riemann surfaces in the world of super geometry. After a short introduction to super differential geometry we will compare Riemann surfaces and super Riemann surfaces. We will see that super Riemann surfaces can be viewed as Riemann surfaces with an additional field, the gravitino. An extension of the harmonic action functional to super Riemann surfaces is presented and applications to the moduli space of super Riemann surfaces are considered.

06.12.2017, 01:42