Unitary matrix models and 2D quantum gravity

Journal Article · Mon Sep 21 00:00:00 EDT 1992 · Modern Physics Letters A; (Singapore)

DOI:https://doi.org/10.1142/S0217732392002226· OSTI ID:6912569

Dalley, S ^[1]; Johnson, C V; Morris, T R ^[2]; Watterstam, A ^[3]

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1. Princeton Univ., NJ (United States). Joseph Henry Labs.
2. Southampton Univ. (United Kingdom). Dept. of Physics
3. Inst. for Theoretical Physics, Chalmers Inst. of Tech., S-412 96 Goteborg (Sweden)

In this paper 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, [P, Q] = Q. The authors 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 [[bar P], Q] = Q.

• OSTI ID: 6912569
• Journal Information: Modern Physics Letters A; (Singapore), Vol. 7:29; ISSN 0217-7323
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Pa
FIELD THEORIES
QUANTUM GRAVITY
INTEGRALS
KORTEWEG-DE VRIES EQUATION
RENORMALIZATION
SINGULARITY
STRING MODELS
TWO-DIMENSIONAL CALCULATIONS
UNITARY SYMMETRY
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
EQUATIONS
EXTENDED PARTICLE MODEL
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUARK MODEL
SYMMETRY
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
662210 - Specific Theories & Interaction Models
Particle Systematics- Unified Theories & Models- (1992-)