Maurer-Cartan forms and equations for two-dimensional superdiffeomorphisms

TL;DR

This paper derives explicit Maurer-Cartan forms for superdiffeomorphism groups on super Riemann surfaces and applies them to compute the effective action related to superdiffeomorphism anomalies in superconformal field theory.

Contribution

It provides explicit formulas for Maurer-Cartan forms of superdiffeomorphism groups and applies these to evaluate anomalies in superconformal field theory.

Findings

Explicit Maurer-Cartan forms for superdiffeomorphisms derived.

Effective action for superdiffeomorphism anomaly computed.

Applications to superconformal field theory demonstrated.

Abstract

We present explicit expressions for the Maurer-Cartan forms of the superdiffeomorphism group associated to a super Riemann surface. As an application to superconformal field theory, we use these forms to evaluate the effective action for the factorized superdiffeomorphism anomaly.