QQ-system and Weyl-type transfer matrices in integrable SO(2r) spin chains
High Energy Physics - Theory
2021-03-17 v3 Mathematical Physics
math.MP
Abstract
We propose the full system of Baxter Q-functions (QQ-system) for the integrable spin chains with the symmetry of the Lie algebra. We use this QQ-system to derive new Weyl-type formulas expressing transfer matrices in all symmetric and antisymmetric (fundamental) representations through basic Q-functions. Our functional relations are consistent with the Q-operators proposed recently by one of the authors and verified explicitly on the level of operators at small finite length.
Cite
@article{arxiv.2008.04336,
title = {QQ-system and Weyl-type transfer matrices in integrable SO(2r) spin chains},
author = {Gwenaël Ferrando and Rouven Frassek and Vladimir Kazakov},
journal= {arXiv preprint arXiv:2008.04336},
year = {2021}
}
Comments
42 pages, 9 Figures; v2: typos fixed, references added; v3: references added, section 9 improved