UNITARY MATRIX MODELS AND 2D QUANTUM GRAVITY-Reference-Cited by-同舟云学术

UNITARY MATRIX MODELS AND 2D QUANTUM GRAVITY

Published:1992-09-21 Issue:29 Volume:07 Page:2753-2762
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

DALLEY S.¹,JOHNSON C. V.²,MORRIS T. R.²,WÄTTERSTAM A.³

Affiliation:

1. Joseph Henry Laboratories, Princeton University, Princeton, NJ 08544, USA

2. Physics Department, The University of Southampton, SO9 5NH, UK

3. Institute for Theoretical Physics, Chalmers Institute of Technology, S-412 96 Göteborg, Sweden

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 multicritical unitary matrix models map to non-singular solutions of the 'renormalization group' equation for the string susceptibility, [Formula: see text]. 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 [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732392002226

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