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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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5 pages, minor corrections

Scientific paper

10.1142/S0217732311036607

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.

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