Knot Theory and Conformal Field Theory: Reduction Relations for Braid Generators

Miki Wadati; Yasuhiko Yamada; Tetsuo Deguchi

doi:10.1143/JPSJ.58.1153

Journal of the Physical Society of Japan

Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015

Knot Theory and Conformal Field Theory: Reduction Relations for Braid Generators

Miki Wadati, Yasuhiko Yamada, Tetsuo Deguchi

Author information

JOURNAL RESTRICTED ACCESS

1989 Volume 58 Issue 4 Pages 1153-1161

DOI https://doi.org/10.1143/JPSJ.58.1153

Details

Abstract

A formula for eigenvalues of the braid generator is derived from the Knizhnik-Zamolodchikov equation in conformal field theory. Through the formula, reduction relations are calculated. They agree with the results previously obtained in the study of new link polynomials. This establishes an explicit connection between knot theory based on exactly solvable models and conformal field theory.

Content from these authors

This article cannot obtain the latest cited-by information.

Favorites & Alerts

Corresponding author

Register with J-STAGE for free!