Matrix integrals and the geometry of spinors

Details Matrix integrals and the geometry of spinors Matrix integrals and the geometry of spinors

1999-09-29

arxiv.org/abs/solv-int/9909028v2

J.Nonlin.Math.Phys. 8 (2001) 288-310

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

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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