Algebraic Bethe ansatz for the elliptic quantum group $E_{\tau ,\eta }(A_2^{(2)})$

Abstract

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.

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

References in corpus (1)

• Creation operators and algebraic Bethe ansatz for the elliptic quantum group $E_{\tau ,\eta }(s{o}_3)$