On pq-duality and explicit solutions in $c \le 1$ $2d$ gravity models

Details On pq-duality and explicit solutions in $c \le 1$ $2d$ gravity models On pq-duality and explicit solutions in $c \le 1$ $2d$ gravity models

1993-03-17

arxiv.org/abs/hep-th/9303100v1

Int. J. Mod. Phys. A10 (1995) 1219

Physics

High Energy Physics

High Energy Physics - Theory

NORDITA 93/20, FIAN-TD-04/93, latex, 20 pp

Scientific paper

We study the integral representation for the exact solution to nonperturbative $c le 1$ string theory. A generic solution is determined by two functions $W(x)$ and $Q(x)$ which behaive at infinity like $x^p$ and $x^q$ respectively. The integral model for arbitrary $(p,q)$ models is derived which explicitely demonstrates $p-q$ duality of minimal models coupled to gravity. We discuss also the exact solutions to string equation and reduction condition and present several explicit examples.

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