Integrals of tau functions: A round dance tau function and multimatrix integrals

A multimatrix model can be built on two ingredients: the choice of an embedded graph and the choice of the integrand, that is, a tau function. We compare the simplest nontrivial tau function of the Toda lattice and the simplest nontrivial tau function of the -component Toda lattice in the context of...

Full description

Saved in:

Bibliographic Details
Published in:	Theoretical and mathematical physics Vol. 215; no. 3; pp. 784 - 792
Main Author:	Orlov, A. Yu
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01-06-2023 Springer Nature B.V
Subjects:	14/34 639/766/189 639/766/530 639/766/747 Applications of Mathematics Integrals Mathematical and Computational Physics Physics Physics and Astronomy Theoretical Hurwitz number special solution of the multicomponent KP hierarchy embedded graph tau function
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	A multimatrix model can be built on two ingredients: the choice of an embedded graph and the choice of the integrand, that is, a tau function. We compare the simplest nontrivial tau function of the Toda lattice and the simplest nontrivial tau function of the -component Toda lattice in the context of their application to multimatrix integrals.
ISSN:	0040-5779 1573-9333
DOI:	10.1134/S004057792306003X