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Multicriticality, Scaling Operators And Mkdv Flows For The Symmetric Unitary One Matrix Models, Konstantinos N. Anagnostopoulos, Mark Bowick
Multicriticality, Scaling Operators And Mkdv Flows For The Symmetric Unitary One Matrix Models, Konstantinos N. Anagnostopoulos, Mark Bowick
Physics - All Scholarship
We present a review of the Symmetric Unitary One Matrix Models. In particular we compute the scaling operators in the double scaling limit and the corresponding mKdV flows. We briefly discuss the computation of the space of solutions to the string equation as a subspace of Gr (0) \Theta Gr (0) which is invariant under the mKdV flows.
Unitary One Matrix Models: String Equation And Flows, Konstantinos N. Anagnostopoulos, Mark Bowick
Unitary One Matrix Models: String Equation And Flows, Konstantinos N. Anagnostopoulos, Mark Bowick
Physics - All Scholarship
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 -function formalism for the flows and we describe its connection to the (big cell of the) Sato Grassmannian Gr (0) via the Plucker embedding of Gr (0) into a fermionic Fock space. Then the space of solutions to the string equation is an explicitly computable subspace of Gr (0) \Theta Gr (0) which is invariant under the flows.