RATIONAL HOPF ALGEBRAS: POLYNOMIAL EQUATIONS, GAUGE FIXING, AND LOW-DIMENSIONAL EXAMPLES-Reference-Cited by-同舟云学术

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

Published:1995-09-30 Issue:24 Volume:10 Page:3431-3476
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

FUCHS JÜRGEN¹,GANCHEV ALEXANDER²,VECSERNYÉS PETER³

Affiliation:

1. NIKHEF-H, Kruislaan 409, NL-1098 SJ Amsterdam, the Netherlands

2. Fachbereich Physik-Theoretische Physik, Erwin Schrödinger-Straße 46/55, D-67653 Kaiserslautern, Germany

3. Central Research Institute for Physics, PO Box 49, H-1525 Budapest 114, Hungary

Abstract

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 more than three sectors, as well as for the level 3 affine [Formula: see text] fusion rules.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X95001650

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