RATIONAL HOPF-ALGEBRAS - POLYNOMIAL EQUATIONS, GAUGE-FIXING, AND LOW-DIMENSIONAL EXAMPLES

被引:12
作者
FUCHS, J
GANCHEV, A
VECSERNYES, P
机构
[1] FACHBEREICH PHYS THEORET PHYS,D-67653 KAISERSLAUTERN,GERMANY
[2] CENT RES INST PHYS,H-1525 BUDAPEST 114,HUNGARY
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 1995年 / 10卷 / 24期
关键词
D O I
10.1142/S0217751X95001650
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
Rational Hopf algebras, i.e. certain quasitriangular weak quasi-Hopf * algebras whose representations form a tortile modular C* category, are expected to describe the quantum symmetry of rational field theories. In this paper the essential structure (hidden by a large gauge freedom) of rational Hopf algebras is revealed. This allows one to construct examples of rational Hopf algebras starting only from the corresponding fusion ring. In particular we classify all solutions for fusion rules with not mom than three sectors, as well as for the level 3 affine A(1)((1)) fusion rules.
引用
收藏
页码:3431 / 3476
页数:46
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