GAUGE-THEORIES, VERTEX MODELS, AND QUANTUM GROUPS

被引：214

作者：

WITTEN, E

机构：

[1] School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540, Olden Lane

来源：

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

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0550-3213(90)90115-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：

It is known that the Jones polynomial of knot theory, and its generalizations, are closely related to the integrable "vertex models" of two-dimensional statistical mechanics, and to quantum groups. In this paper, an attempt is made to show on a priori grounds, starting only from general covariance of three-dimensional Chern-Simons gauge theory and two-dimensional "duality", why this must be so. © 1990.

引用

页码：285 / 346

页数：62

共 39 条

[1]

ALVAREZGAUME L, CERNTH526788 PREPR

[2]

ATIYAH MF, 1988, P S PURE MATH, V48

[3] COMMUTING TRANSFER-MATRICES IN THE CHIRAL POTTS MODELS - SOLUTIONS OF STAR TRIANGLE EQUATIONS WITH GENUS-GREATER-THAN-1 [J].