Unitary One Matrix Models: String Equations and Flows

Details Unitary One Matrix Models: String Equations and Flows Unitary One Matrix Models: String Equations and Flows

1992-03-02

arxiv.org/abs/hep-th/9203005v1

Physics

High Energy Physics

High Energy Physics - Theory

20 pages (Invited talk delivered by M. J. Bowick at the Vth Regional Conference on Mathematical Physics, Edirne Turkey: Decemb

Scientific paper

We review the Symmetric Unitary One Matrix Models. In particular we discuss the string equation in the operator formalism, the mKdV flows and the Virasoro Constraints. We focus on the $\t$-function formalism for the flows and we describe its connection to the (big cell of the) Sato Grassmannian $\Gr$ via the Plucker embedding of $\Gr$ into a fermionic Fock space. Then the space of solutions to the string equation is an explicitly computable subspace of $\Gr\times\Gr$ which is invariant under the flows.

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