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Discrete and Continuum Virasoro Constraints in Two-Cut Hermitian Matrix Models

Waichi Ogura
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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 $GL(\infty )$ 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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Waichi Ogura. 1992-01-13. Discrete and Continuum Virasoro Constraints in Two-Cut Hermitian Matrix Models. https://doi.org/10.1143/ptp%2F89.6.1311

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