Nonperturbative Model of Liouville Gravity
نویسنده
چکیده
We obtain nonperturbative results in the framework of continuous Liouville theory. In particular, we express the specific heat Z of pure gravity in terms of an expansion of integrals on moduli spaces of punctured Riemann spheres. The integrands are written in terms of the Liouville action. We show that Z satisfies the Painlevé I. Partly supported by the European Community Research Programme Gauge Theories, applied supersymmetry and quantum gravity, contract SC1-CT92-0789 e-mail: [email protected], vaxfpd::matone 1. In this paper we introduce models of Liouville theory in the continuum which are based on the Riemann sphere with punctures. The models include pure gravity. In particular we will show that Z(t) = t ∞ ∑
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