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

S. Kharchev; A. Marshakov

doi:10.1142/s0217751x95000577

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arXiv · hep-th/9303100

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

S. Kharchev·A. Marshakov

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Abstract

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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S. Kharchev, A. Marshakov. 1993-03-17. On pq-duality and explicit solutions in $c \le 1$ $2d$ gravity models. https://doi.org/10.1142/s0217751x95000577

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