An alternative approach to KP hierarchy in matrix models

Abstract

We show that there exists an alternative procedure in order to extract differential hierarchies, such as the KdV hierarchy, from one--matrix models, without taking a continuum limit. To prove this we introduce the Toda lattice and reformulate it in operator form. We then consider the reduction to the systems appropriate for one--matrix model.

18p

References in corpus (2)

• Integrable Discrete Linear Systems and One-Matrix Model
• C.S.Xiong

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