On loop equations in KdV exactly solvable string theory

Journal Article · Sun May 10 00:00:00 EDT 1992 · Modern Physics Letters A; (Singapore)

DOI:https://doi.org/10.1142/S0217732392003748· OSTI ID:7277997

Dalley, S ^[1]

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1. Princeton Univ., NJ (United States). Joseph Henry Labs.

In this paper, the non-perturbative behavior of macroscopic loop amplitudes in the exactly solvable string theories based on the KdV hierarchies is considered. Loop equations are presented for the real non-perturbative solutions living on the spectral half-line, allowed by the most general string equation ({bar P}, Q) = Q, where {bar P} generates scale transformations. In general the end of the half-line (the wall) is a non-perturbative parameter whose role is that of boundary cosmological constant. The properties are compared with the perturbative behavior and solutions of (P,Q) = 1. Detailed arguments are given for the (2,2m {minus} 1) models while generalization to the other (p,q) minimal models and c = 1 is briefly addressed.

• OSTI ID: 7277997
• Journal Information: Modern Physics Letters A; (Singapore), Vol. 7:14; ISSN 0217-7323
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
STRING MODELS
EQUATIONS
AMPLITUDES
COSMOLOGICAL CONSTANT
KORTEWEG-DE VRIES EQUATION
PERTURBATION THEORY
TRANSFORMATIONS
WILSON LOOP
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
EXTENDED PARTICLE MODEL
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
QUARK MODEL
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)