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

Research output: Contribution to journal › Article › peer-review

20 Downloads (Pure)

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

Access to Document

10.21468/SCIPOSTPHYS.12.2.067Licence: CC BY

Final_Version
© 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

Cite this

@article{30b38e4af2b547ea8da6dc7c4fcbc81c,

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.",

author = "Vidas Regelskis",

note = "{\textcopyright} 2022 V. Regelskis. Published by the SciPost Foundation. This work is licensed under the Creative Commons Attribution 4.0 International License.",

year = "2022",

month = feb,

day = "17",

doi = "10.21468/SCIPOSTPHYS.12.2.067",

language = "English",

volume = "12",

journal = "SciPost Physics",

publisher = "SciPost Foundation",

number = "2",

}

TY - JOUR

T1 - Algebraic Bethe ansatz for spinor R-matrices

AU - Regelskis, Vidas

PY - 2022/2/17

Y1 - 2022/2/17

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=85126329344&partnerID=8YFLogxK

U2 - 10.21468/SCIPOSTPHYS.12.2.067

DO - 10.21468/SCIPOSTPHYS.12.2.067

M3 - Article

AN - SCOPUS:85126329344

VL - 12

JO - SciPost Physics

JF - SciPost Physics

IS - 2

M1 - 067

ER -

Algebraic Bethe ansatz for spinor R-matrices

Abstract

Access to Document

Other files and links

Fingerprint

Cite this