Moduli Space of Topological 2-form Gravity

Mitsuko Abe, A. Nakamichi, T. Ueno

Published 1993-06-25, updated 1993-08-09Version 3

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.