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Matrix integrals and the geometry of spinors

Johan van de Leur
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Abstract

We obtain the collection of symmetric and symplectic matrix integrals and the collection of Pfaffian tau-functions, recently described by Peng and Adler and van Moerbeke, as specific elements in the Spin-group orbit of the vacuum vector of a fermionic Fock space. This fermionic Fock space is the same space as one constructs to obtain the KP and 1-Toda lattice hierarchy.

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Johan van de Leur. 2001-04-01. Matrix integrals and the geometry of spinors. https://arxiv.org/abs/solv-int/9909028

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