Algebraic Bethe ansatz for spinor R-matrices

Vidas Regelskis

doi:10.21468/SCIPOSTPHYS.12.2.067

Algebraic Bethe ansatz for spinor R-matrices

Vidas Regelskis

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Abstract

We present a supermatrix realisation of q-deformed spinor-spinor and spinor-vector Rmatrices. These R-matrices are then used to construct transfer matrices for Uq2(so2n+1)- and Uq(so2n+2)-symmetric closed spin chains. Their eigenvectors and eigenvalues are computed.

Original language	English
Article number	067
Number of pages	38
Journal	SciPost Physics
Volume	12
Issue number	2
DOIs	https://doi.org/10.21468/SCIPOSTPHYS.12.2.067
Publication status	Published - 17 Feb 2022

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10.21468/SCIPOSTPHYS.12.2.067Licence: CC BY

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© 2022 V. Regelskis. Published by the SciPost Foundation. This work is licensed under the Creative Commons Attribution 4.0 International License.
Final published version, 364 KBLicence: CC BY

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title = "Algebraic Bethe ansatz for spinor R-matrices",

abstract = "We present a supermatrix realisation of q-deformed spinor-spinor and spinor-vector Rmatrices. These R-matrices are then used to construct transfer matrices for Uq2(so2n+1)- and Uq(so2n+2)-symmetric closed spin chains. Their eigenvectors and eigenvalues are computed.",

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AB - We present a supermatrix realisation of q-deformed spinor-spinor and spinor-vector Rmatrices. These R-matrices are then used to construct transfer matrices for Uq2(so2n+1)- and Uq(so2n+2)-symmetric closed spin chains. Their eigenvectors and eigenvalues are computed.

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Algebraic Bethe ansatz for spinor R-matrices

Abstract

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