Moduli Space of Topological 2-form Gravity

Abstract

We propose a topological version of four-dimensional (Euclidean) Einstein gravity, in which anti-self-dual 2-forms and an SU(2) connection are used as fundamental fields. The theory describes the moduli space of conformally self-dual Einstein manifolds. In the presence of a cosmological constant, we evaluate the index of the elliptic complex associated with the moduli space.

10pages, Latex (minor changes)

Cited by in corpus (3)

• Towards a Gravitational Analog to S-duality in Non-abelian Gauge Theories
• Gravitational Instantons and Moduli Spaces of Topological 2-form Gravity
• Pursuing Gravitational S-Duality