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

1992/06/30 by S. Dalley, C. V. Johnson, Clifford V. Johnson +4 · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1142/s0217732392002226

published as Mod.Phys.Lett. A7 (1992) 2753-2762 · 15 pages, PUPT-1325

arxiv created 1992/07/11 · openalex publication_date 1992/09/21 · arxiv updated 2009/11/30 · openalex created_date 2020/11/23 · openalex updated_date 2026/07/28

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, [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 [P,Q]=Q.

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• Minimal superstrings and loop gas models