Nonperturbative Model Of Liouville Gravity

Details Nonperturbative Model Of Liouville Gravity Nonperturbative Model Of Liouville Gravity

1994-02-14

arxiv.org/abs/hep-th/9402081v1

J.Geom.Phys. 21 (1997) 381-398

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTex file

Scientific paper

10.1016/S0393-0440(96)00028-9

We obtain nonperturbative results in the framework of continuous Liouville
theory. In particular, we express the specific heat ${\cal Z}$ 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 ${\cal Z}$ satisfies the Painlev\'e I.

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