Algebraic Bethe ansatz for the elliptic quantum group $E_{τ,η}(A_2^{(2)})$

Details Algebraic Bethe ansatz for the elliptic quantum group $E_{τ,η}(A_2^{(2)})$ Algebraic Bethe ansatz for the elliptic quantum group $E_{τ,η}(A_2^{(2)})$

2007-04-23

arxiv.org/abs/0704.3032v2

Journal of Mathematical Physics 48, 123515 (2007)

Mathematics

Quantum Algebra

15 pages; v2: minor corrections. A reference is added, a more precise abstract is written, a section title is changed and typo

Scientific paper

10.1063/1.2823974

We implement the Bethe anstaz method for the elliptic quantum group
$E_{\tau,\eta}(A_2^{(2)})$. 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.

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