CONFORMAL FIELD-THEORY, 2-DIMENSIONAL QUANTUM-GRAVITY AND QUANTIZATION OF TEICHMULLER SPACE

被引：166

作者：

VERLINDE, H

机构：

[1] Joseph Henry Laboratories, Princeton University, Princeton

来源：

NUCLEAR PHYSICS B | 1990年 / 337卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0550-3213(90)90510-K

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 formulate the geometric quantization of Teichmüller space by using its relation with SL(2, R) Chern-Simons gauge theory and show that the physical state conditions arising in this formalism are equivalent to the Virasoro Ward identities satisfied by the conformal blocks in CFT. We further show that transition amplitudes between the physical states of this quantum system have a direct correspondence with covariant amplitudes of two-dimensional induced quantum gravity. Possible applications of these results to Virasoro modular geometry and (2 + 1)-dimensional quantum gravity are indicated. © 1990.

引用

页码：652 / 680

页数：29

共 43 条

[1] PATH INTEGRAL QUANTIZATION OF THE COADJOINT ORBITS OF THE VIRASORO GROUP AND 2-D GRAVITY [J].