Discrete and Continuum Virasoro Constraints in Two-Cut Hermitian Matrix Models
Waichi Ogura
Abstract
Continuum Virasoro constraints in the two-cut hermitian matrix models are derived from the discrete Ward identities by means of the mapping from the GL(∞ ) Toda hierarchy to the nonlinear Schrödinger (NLS) hierarchy. The invariance of the string equation under the NLS flows is worked out. Also the quantization of the integration constant α reported by Hollowood et al. is explained by the analyticity of the continuum limit.
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