An alternative approach to KP hierarchy in matrix models

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Scientific paper

10.1016/0370-2693(92)91451-E

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.

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