Algebraic-geometrical formulation of two-dimensional quantum gravity

被引：7

作者：

Bonelli, G

Marchetti, PA

Matone, M

机构：

[1] Department of Physics, 'G. Galilei', Ist. Nazionale di Fisica Nucleare, University of Padova, 35131 Padova

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1996年 / 36卷 / 02期

关键词：

two-dimensional quantum gravity; Riemann surfaces; Painleve I recursion relations; Weil-Petersson two-forms; Liouville path integral;

D O I：

10.1007/BF00714381

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We find a volume form on moduli space of double-punctured Riemann surfaces whose integral satisfies the Painleve I recursion relations of the genus expansion of the specific heat of 2D gravity. This allows us to express the asymptotic expansion of the specific heat as an integral on an infinite-dimensional moduli space in the spirit of the Friedan-Shenker approach. We outline a conjectural derivation of such recursion relations using the Duistermaat-Heckman theorem.

引用

页码：189 / 196

页数：8

共 31 条

[1]

ALVAREZGAUME L, 1990, RANDOM SURFACES STAT

[2]

[Anonymous], 1978, Principles of algebraic geometry

[3] THE MUMFORD FORM AND THE POLYAKOV MEASURE IN STRING THEORY [J].