Cut-and-Join operator representation for Kontsevich-Witten tau-function

Abstract

In this short note we construct a simple cut-and-join operator representation for Kontsevich-Witten tau-function that is the partition function of the two-dimensional topological gravity. Our derivation is based on the Virasoro constraints. Possible applications of the obtained expression are discussed.

5 pages, minor corrections

References in corpus (2)

• Instantons and Merons in Matrix Models
• Partition Functions of Matrix Models as the First Special Functions of String Theory. II. Kontsevich Model

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