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arXiv · hep-th/9201011

On Equivalence of Topological and Quantum 2d Gravity

A. Marshakov·A. Mironov·A. Morozov
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Abstract

We demonstrate the equivalence of Virasoro constraints imposed on continuum limit of partition function of Hermitean 1-matrix model and the Ward identities of Kontsevich's model. Since the first model describes ordinary $d = 2$ quantum gravity, while the second one is supposed to coincide with Witten's topological gravity, the result provides a strong implication that the two models are indeed the same.

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A. Marshakov, A. Mironov, A. Morozov. 1992-01-08. On Equivalence of Topological and Quantum 2d Gravity. https://doi.org/10.1016/0370-2693(92)91987-k

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