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Topological gravity with exchange algebra

S. Aoyama
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Abstract

A topological gravity is obtained by twisting the effective $(2,0)$ super\-gravity. We show that this topological gravity has an infinite number of BRST invariant quantities with conformal weight $0$. They are a tower of OSp$(2,2)$ multiplets and satisfy the classical exchange algebra of OSp$(2,2)$. We argue that these BRST invariant quantities become physical operators in the quantum theory and their correlation functions are braided according to the quantum OSp$(2,2)$ group. These properties of the topological effective gravity are not shared by the standard topological gravity.

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S. Aoyama. 1993-11-09. Topological gravity with exchange algebra. https://doi.org/10.1016/0370-2693(94)90198-8

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