A Proof of the KNS conjecture : $D_r$ case
Quantum Algebra
2013-10-07 v3 Representation Theory
Abstract
We prove the Kuniba-Nakanishi-Suzuki (KNS) conjecture concerning the quantum dimension solution of the -system of type obtained by a certain specialization of classical characters of the Kirillov-Reshetikhin modules. To this end, we use various symmetries of quantum dimensions. As a result, we obtain an explicit formula for the positive solution of the level restricted -system of type which plays an important role in dilogarithm identities for conformal field theories.
Keywords
Cite
@article{arxiv.1210.1669,
title = {A Proof of the KNS conjecture : $D_r$ case},
author = {Chul-hee Lee},
journal= {arXiv preprint arXiv:1210.1669},
year = {2013}
}
Comments
13 pages, v3. published version, minor update (references added, typos corrected)