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

Alexandrov, A.

doi:10.1142/S0217732311036607

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

A. Alexandrov
(
- Ecole Normale Superieure and
- Moscow, ITEP
)

Sep, 2010

5 pages

Published in:

Mod.Phys.Lett.A 26 (2011) 2193-2199

e-Print:

1009.4887 [hep-th]

DOI:

10.1142/S0217732311036607

Report number:

LPT-ENS-10-37

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Abstract: (arXiv)

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.

Matrix models
tau-function
gravitation: topological
constraint: Virasoro
dimension: 2
tau-function
partition function
Korteweg-de Vries equation
matrix model
Kontsevich model

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