Area-Preserving Algebra Structure of Two-Dimensional Supergravity

TL;DR

This paper extends the effective action for 2d gravity to include supersymmetry, demonstrating super area-preserving invariance and cocyclic properties under supergravitational transformations.

Contribution

It introduces a supersymmetric extension of the 2d gravity effective action with invariance properties and cocyclic structures.

Findings

Super area-preserving invariance established.

Cocyclic properties under supergravitational transformations demonstrated.

Extension of 2d gravity effective action to supersymmetric case.

Abstract

The effective action for 2d-gravity in Weyl-invariant regularization is extended to supersymmetric case. The super area-preserving invariance and cocyclic properties under general supergravitational transformations of the last action is shown.