Symmetries and observables in topological gravity

TL;DR

This paper introduces a superspace approach to topological gravity, clarifying relationships between different formalisms and providing new insights into the structure of the theory.

Contribution

It presents a superspace formulation of topological gravity that unifies various approaches and enhances understanding of their connections.

Findings

Recovered known results in topological gravity

Clarified relationship between vielbein and metric formalisms

Provided new insights into the structure of topological gravity

Abstract

After a brief review of topological gravity, we present a superspace approach to this theory. This formulation allows us to recover in a natural manner various known results and to gain some insight into the precise relationship between different approaches to topological gravity. Though the main focus of our work is on the vielbein formalism, we also discuss the metric approach and its relationship with the former formalism.