We extend to the Toda lattice hierarchy the approach of [3, 4] to computation of logarithmic derivatives of tau-functions in terms of the so-called matrix resolvents of the corresponding differ- ence Lax operator. As a particular application we obtain explicit generating series for connected GUE correlators. On this basis an efficient recursive procedure for computing the correlators in full genera is developed.
Generating series for GUE correlators / Dubrovin, Boris; Yang, Di. - In: LETTERS IN MATHEMATICAL PHYSICS. - ISSN 0377-9017. - 107:11(2017), pp. 1971-2012. [10.1007/s11005-017-0975-6]
Generating series for GUE correlators
Dubrovin, Boris;Yang, Di
2017
Abstract
We extend to the Toda lattice hierarchy the approach of [3, 4] to computation of logarithmic derivatives of tau-functions in terms of the so-called matrix resolvents of the corresponding differ- ence Lax operator. As a particular application we obtain explicit generating series for connected GUE correlators. On this basis an efficient recursive procedure for computing the correlators in full genera is developed.File in questo prodotto:
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