English

Moduli Space of Topological 2-form Gravity

High Energy Physics - Theory 2009-10-22 v3

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.

Keywords

Cite

@article{arxiv.hep-th/9306130,
  title  = {Moduli Space of Topological 2-form Gravity},
  author = {Mitsuko Abe and A. Nakamichi and T. Ueno},
  journal= {arXiv preprint arXiv:hep-th/9306130},
  year   = {2009}
}

Comments

10pages, Latex (minor changes)

R2 v1 2026-07-22T15:46:34.946Z