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Moduli Space of Topological 2-form Gravity

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arxiv hep-th/9306130 v3 pith:AAPLWCFW submitted 1993-06-25 hep-th

Moduli Space of Topological 2-form Gravity

classification hep-th
keywords modulispaceeinsteingravitytopologicalanti-self-dualassociatedcomplex
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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