Abstract
We show how to formulate the algebraic nested Bethe ansatz for RTT algebras with an R-matrix of the sp(4) type. We obtain the Bethe vectors and Bethe conditions for any highest-weight representation of these RTT algebras.
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E. K. Sklyanin, L. A. Takhtadzhyan, and L. D. Faddeev, “Quantum inverse problem method: I,” Theor. Math. Phys., 40, 688–706 (1979).
P. P. Kulish and N. Yu. Reshetikhin, “Diagonalization of GL(N) invariant transfer matrices and quantum N-wave system (Lee model),” J. Phys. A: Math. Gen., 16, L591–L596 (1983).
S. Belliard and E. Ragoucy, “Nested Bethe ansatz for ‘all’ closed spin chain,” J. Phys. A: Math. Theor., 41, 295202 (2008); arXiv:0804.2822v2 [math-ph] (2008).
N. Yu. Reshetikhin, “Integrable models of quantum one-dimensional magnets with O(n) and Sp(2k) symmetry,” Theor. Math. Phys., 63, 555–569 (1985).
N. Yu. Reshetikhin, “Bethe-ansats for SO(N)-invariant transfermatrices,” Zap. Nauchn. Sem. LOMI, 169, 122–140 (1988).
M. J. Martins and P. B. Ramos, “The algebraic Bethe ansatz for rational braid-monoid lattice models,” Nucl. Phys. B, 500, 579–620 (1997); arXiv:hep-th/9703023v1 (1997).
Č. Burdík and O. Navrátil, “Nested Bethe ansatz for RTT-algebra of sp(4) type,” arXiv:1708.05633v1 [math-ph] (2017).
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Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 198, No. 1, pp. 3–18, January, 2019.
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Burdík, Č., Navrátil, O. Nested Bethe Ansatz for the RTT Algebra of sp(4) Type. Theor Math Phys 198, 1–16 (2019). https://doi.org/10.1134/S004057791901001X
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DOI: https://doi.org/10.1134/S004057791901001X