ON p – q DUALITY AND EXPLICIT SOLUTIONS IN c ≤ 1 2D GRAVITY MODELS

30 March 1995

journal article
Published by World Scientific Pub Co Pte Ltd in International Journal of Modern Physics A

Vol. 10 (8) , 1219-1236
https://doi.org/10.1142/s0217751x95000577

Abstract

We study the role of integral representations in the description of nonperturbative solutions to c ≤ 1 string theory. A generic solution is determined by two functions, W(x) and Q(x), which behave at infinity like x^p and x^q respectively. The integral formula for arbitrary (p, q) models is derived, which explicitly realizes a duality transformation between (p, q) and (q, p) 2D gravity solutions. We also discuss the exact solutions to the string equation and reduction condition and present several explicit examples.

Keywords

INTEGRAL REPRESENTATIONS
GRAVITY MODELS
EXPLICIT SOLUTIONS
2D GRAVITY
STRING
DUALITY
EXPLICITLY REALIZES
LIKE XP

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Version 1, 1993-03-18, ArXiv

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