Matrix integrals and the geometry of spinors
solv-int
2016-09-08 v2 adap-org
High Energy Physics - Theory
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.solv-int/9909028,
title = {Matrix integrals and the geometry of spinors},
author = {Johan van de Leur},
journal= {arXiv preprint arXiv:solv-int/9909028},
year = {2016}
}