ON LOOP EQUATIONS IN KdV EXACTLY SOLVABLE STRING THEORY
1992 ◽
Vol 07
(14)
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pp. 1263-1272
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Keyword(s):
The Real
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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 [Formula: see text], where [Formula: see text] 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-1) models while generalization to the other (p,q) minimal models and c=1 is briefly addressed.