COMMON STRUCTURES BETWEEN FINITE SYSTEMS AND CONFORMAL FIELD-THEORIES THROUGH QUANTUM GROUPS

被引：655

作者：

PASQUIER, V

SALEUR, H

机构：

[1] Service de Physique Théorique de Saclay

来源：

NUCLEAR PHYSICS B | 1990年 / 330卷 / 2-3期

关键词：

D O I：

10.1016/0550-3213(90)90122-T

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 discuss in this paper algebraic structures that are common to finite integrable lattice systems and conformal field theories. The concept of quantum group plays a major role in our study, and a detailed theory of representations of Uq[SU(n+1)] for q a root of unity is given. We obtain in particular a discrete analog of the Feigin-Fuchs construction, with corresponding concepts of null vectors or unitarity. The modular transformation S-matrix is also obtained from finite lattice considerations. © 1990.

引用

页码：523 / 556

页数：34

共 32 条

[1] THE MODIFIED XXZ HEISENBERG CHAIN, CONFORMAL-INVARIANCE AND THE SURFACE EXPONENTS OF C-LESS-THAN-1 SYSTEMS [J].