From N=2 Supergravity to Constrained Moduli Spaces

TL;DR

This paper reviews a mechanism that reduces the moduli space in topological field theories, exemplified by constrained topological gravity derived from N=2 Liouville theory.

Contribution

It introduces a specific mechanism for constraining moduli spaces in topological theories, demonstrated through a novel example involving topological gravity.

Findings

Reduction of moduli space via the mechanism

Explicit realization in topological gravity

Connection to N=2 Liouville theory

Abstract

In this talk we review some results concerning a mechanism for reducing the moduli space of a topological field theory to a proper submanifold of the ordinary moduli space. Such mechanism is explicitly realized in the example of constrained topological gravity, obtained by topologically twisting the N=2 Liouville theory.