Algebraic Bethe ansatz for the elliptic quantum group $E_{\tau,\eta}(A_2^{(2)})$
Quantum Algebra
2009-11-13 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We implement the Bethe anstaz method for the elliptic quantum group . The Bethe creation operators are constructed as polynomials of the Lax matrix elements expressed through a recurrence relation. We also give the eigenvalues of the family of commuting transfer matrices defined in the tensor product of fundamental representations.
Cite
@article{arxiv.0704.3032,
title = {Algebraic Bethe ansatz for the elliptic quantum group $E_{\tau,\eta}(A_2^{(2)})$},
author = {Nenad Manojlovic and Zoltan Nagy},
journal= {arXiv preprint arXiv:0704.3032},
year = {2009}
}