ON THE GROUP THEORETICAL MEANING OF CONFORMAL FIELD-THEORIES IN THE FRAMEWORK OF COADJOINT ORBITS

被引：10

作者：

ARATYN, H ^{[1
]}

NISSIMOV, E ^{[1
]}

PACHEVA, S ^{[1
]}

机构：

[1] WEIZMANN INST SCI,DEPT PHYS,IL-76100 REHOVOT,ISRAEL

来源：

PHYSICS LETTERS B | 1990年 / 251卷 / 03期

关键词：

D O I：

10.1016/0370-2693(90)90726-M

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We present a unifying approach to conformal field theories and other geometric models within the formalism of coadjoint orbits of infinite dimensional Lie groups with central extensions. Starting from the previously obtained general formula for the symplectic action in terms of two fundamental group one-cocycles, we derive the most general form of the Polyakov-Wiegmann composition laws for any geometric model. These composition laws are succinct expressions of all pertinent Noether symmetries. As a basic consequence we obtain Ward identities allowing for the exact quantum solvability of any geometric model. © 1990.

引用

页码：401 / 405

页数：5

共 26 条

[1] FROM GEOMETRIC-QUANTIZATION TO CONFORMAL FIELD-THEORY [J].