VIRASORO CONSTRAINTS AND FLOWS IN HERMITIAN MATRIX MODELS

The Virasoro constraints are written in terms of the solution to the hermitian matrix model string equation. An explicit solution is found to the first two linear constraints. This solution is used in an asymptotic limit to study the renormalization group flow between multicritical points. We are led to the conclusion that there is no flow between odd and even multicritical points due to a nonperturbative instability, while flows between odd multicritical points are not prevented.