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Creation operators and algebraic Bethe ansatz for the elliptic quantum group $E_{\tau,\eta}(so_3)$

Nenad Manojlovic·Zoltan Nagy
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Abstract

We define the elliptic quantum group $E_{\tau,\eta}(so_3)$ and the transfer matrix corresponding to its simplest highest weight representation. We use Bethe anstaz method to construct the creation operators as polynomials of the Lax matrix elements expressed through a recurrence relation. We give common eigenvectors and eigenvalues of the family of commuting transfer matrices.

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BibTeXRIS

Nenad Manojlovic, Zoltan Nagy. 2006-12-04. Creation operators and algebraic Bethe ansatz for the elliptic quantum group $E_{\tau,\eta}(so_3)$. https://doi.org/10.1088/1751-8113/40/15/009

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