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

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

1992-01-09

arxiv.org/abs/hep-th/9201018v2

Prog.Theor.Phys. 89 (1993) 1311-1330

Physics

High Energy Physics

High Energy Physics - Theory

25 pages

Scientific paper

10.1143/PTP.89.1311

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 Schr\"odinger (NLS) hierarchy. The invariance of the string equation under the NLS flows is worked out. Also the quantization of the integration constant $\alpha$ reported by Hollowood et al. is explained by the analyticity of the continuum limit.

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