Unitary One Matrix Models: String Equation and Flows
نویسندگان
چکیده
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 τ -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 ×Gr(0) which is invariant under the flows. February 29, 1992 ∗ Invited talk delivered by M. J. Bowick at the V Regional Conference on Mathematical Physics, Edirne, Turkey; December 15-22, 1991. E-mail: [email protected]; [email protected].
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