LOOP EQUATIONS AND VIRASORO CONSTRAINTS IN NONPERTURBATIVE 2-DIMENSIONAL QUANTUM-GRAVITY

被引：408

作者：

DIJKGRAAF, R ^{[1
]}

VERLINDE, H ^{[1
]}

VERLINDE, E ^{[1
]}

机构：

[1] INST ADV STUDY,SCH NAT SCI,PRINCETON,NJ 08540

来源：

NUCLEAR PHYSICS B | 1991年 / 348卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0550-3213(91)90199-8

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We give a derivation of the loop equation for two-dimensional gravity from the KdV equations and the string equation of the one-matrix model. We find that the loop equation is equivalent to an infinite set of linear constraints on the square root of the partition function satisfying the Virasoro algebra. We give an interpretation of these equations in topological gravity and discuss their extension of multi-matrix models. For the multi-critical models the loop equation naturally singles out the operators corresponding to the primary fields of the minimal models.

引用

页码：435 / 456

页数：22

共 40 条

[1] THE APPEARANCE OF CRITICAL DIMENSIONS IN REGULATED STRING THEORIES [J].