Title Nested algebraic Bethe ansatz for deformed orthogonal and symplectic spin chains /
Authors Gerrard, Allan ; Regelskis, Vidas
DOI 10.1016/j.nuclphysb.2020.115021
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Is Part of Nuclear physics B.. Amsterdam : Elsevier. 2020, vol. 956, art. no. 115021, p. [1-30].. ISSN 0550-3213. eISSN 1873-1562
Keywords [eng] Bethe Ansatz ; Spin Chain ; Quantum Loop Algebra
Abstract [eng] We construct exact eigenvectors and eigenvalues for Uq(sp(2n))- and Uq(so(2n))-symmetric closed spin chains by means of a nested algebraic Bethe ansatz method. We use a fusion procedure to construct higher-dimensional Lax operators. Our approach generalises and extends the results obtained by Reshetikhin and De Vega–Karowski. We also present a generalisation of Tarasov–Varchenko trace formula for nested Bethe vectors.
Published Amsterdam : Elsevier
Type Journal article
Language English
Publication date 2020
CC license CC license description