A SOLUTION OF 2-DIMENSIONAL TOPOLOGICAL QUANTUM-GRAVITY

被引：179

作者：

VERLINDE, E ^{[1
]}

VERLINDE, H ^{[1
]}

机构：

[1] PRINCETON UNIV,JOSEPH HENRY LABS,PRINCETON,NJ 08544

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)90200-H

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 formulation of two-dimensional topological gravity without matter in terms of a supersymmetric conformally invariant field theory and derive a path integral expression of the physical amplitudes. A careful analysis of the contact terms of the physical operators reveals the presence of a non-commutative algebra, isomorphic to the Virasoro algebra. We show that this algebra completely determines all the amplitudes at arbitrary genus, which coincide with those of the one-matrix model at the k = 1 critical point.

引用

页码：457 / 489

页数：33

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