Moduli Space of Topological 2-form Gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10pages, Latex (minor changes)

Scientific paper

10.1142/S021773239400071X

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.

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