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A remark on the three approaches to 2D Quantum gravity

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arxiv 1010.2222 v3 pith:43WX7YHM submitted 2010-10-11 hep-th

classification hep-th
keywords functiongeneratinggravitycorrelationmodeltopologicalanalyticapproaches
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abstract

The one-matrix model is considered. The generating function of the correlation numbers is defined in such a way that this function coincide with the generating function of the Liouville gravity. Using the Kontsevich theorem we explain that this generating function is an analytic continuation of the generating function of the Topological gravity. We check the topological recursion relations for the correlation functions in the $p$-critical Matrix model.

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  1. Aspects of Closed Matricial Worlds

    hep-th 2026-07 conditional novelty 6.0 of 10

    Higher-genus corrections to the 2D de Sitter disk path integral follow a universal structure that at large boundary length mimics topological gravity, with new explicit expressions through genus six.

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