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arXiv · hep-th/9206060

Unitary Matrix Models and 2D Quantum Gravity (Virasoro constraints modified)

S. Dalley·C. V. Johnson·T. R. Morris·A. Watterstam
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Abstract

The KdV and modified KdV integrable hierarchies are shown to be different descriptions of the same 2D gravitational system -- open-closed string theory. Non-perturbative solutions of the multi-critical unitary matrix models map to non-singular solutions of the `renormalisation group' equation for the string susceptibility, $[\tilde{P},Q]=Q$. We also demonstrate that the large N solutions of unitary matrix integrals in external fields, studied by Gross and Newman, equal the non-singular pure closed-string solutions of $[\tilde{P},Q]=Q$.

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S. Dalley, C. V. Johnson, T. R. Morris, A. Watterstam. 1992-07-11. Unitary Matrix Models and 2D Quantum Gravity (Virasoro constraints modified). https://doi.org/10.1142/s0217732392002226

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