Quantum Jacobi-Trudi and Giambelli Formulae for $U_q(B_r^{(1)})$ from Analytic Bethe Ansatz
High Energy Physics - Theory
2009-10-28 v1 Quantum Algebra
q-alg
Abstract
Analytic Bethe ansatz is executed for a wide class of finite dimensional modules. They are labeled by skew-Young diagrams which, in general, contain a fragment corresponding to the spin representation. For the transfer matrix spectra of the relevant vertex models, we establish a number of formulae, which are analogues of the classical ones due to Jacobi-Trudi and Giambelli on Schur functions. They yield a full solution to the previously proposed functional relation (-system), which is a Toda equation
Keywords
Cite
@article{arxiv.hep-th/9506167,
title = {Quantum Jacobi-Trudi and Giambelli Formulae for $U_q(B_r^{(1)})$ from Analytic Bethe Ansatz},
author = {Atsuo Kuniba and Yasuhiro Ohta and Junji Suzuki},
journal= {arXiv preprint arXiv:hep-th/9506167},
year = {2009}
}
Comments
Plain Tex(macro included), 18 pages. 7 figures are compressed and attached