Nested algebraic Bethe ansatz for deformed orthogonal and symplectic spin chains

Nested algebraic Bethe ansatz for deformed orthogonal and symplectic spin chains

We construct exact eigenvectors and eigenvalues for Uq(sp2n)- and Uq(so2n)-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 Reshetikhi...

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Veröffentlicht in:Nuclear physics. B 2020-07, Vol.956, p.115021, Article 115021
Hauptverfasser: Gerrard, Allan, Regelskis, Vidas
Format: Artikel
Sprache:eng
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Zusammenfassung:We construct exact eigenvectors and eigenvalues for Uq(sp2n)- and Uq(so2n)-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.
ISSN:0550-3213
1873-1562
DOI:10.1016/j.nuclphysb.2020.115021