Nested algebraic Bethe ansatz for deformed orthogonal and symplectic spin chains

Allan Gerrard; Vidas Regelskis

doi:10.1016/j.nuclphysb.2020.115021

Nested algebraic Bethe ansatz for deformed orthogonal and symplectic spin chains

Allan Gerrard
, Vidas Regelskis

Mathematics and Theoretical Physics

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9 Citations (Scopus)

43 Downloads (Pure)

Abstract

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.

Original language	English
Article number	115021
Number of pages	30
Journal	Nuclear Physics B
Volume	956
DOIs	https://doi.org/10.1016/j.nuclphysb.2020.115021
Publication status	Published - Jul 2020

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10.1016/j.nuclphysb.2020.115021Licence: CC BY

1-s2.0-S0550321320301073-main
© 2020 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
Final published version, 408 KBLicence: CC BY

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abstract = "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.",

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AU - Gerrard, Allan

AU - Regelskis, Vidas

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85083645902

U2 - 10.1016/j.nuclphysb.2020.115021

DO - 10.1016/j.nuclphysb.2020.115021

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SN - 0550-3213

VL - 956

JO - Nuclear Physics B

JF - Nuclear Physics B

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Nested algebraic Bethe ansatz for deformed orthogonal and symplectic spin chains

Abstract

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