arXiv:2108.07580 · SciPost Physics

Algebraic Bethe Ansatz for spinor R-matrices

Vidas Regelskis

Published Feb 17, 2022• 1 citation

Abstract

We present a supermatrix realisation of q q -deformed spinor-spinor and spinor-vector R R -matrices. These R R -matrices are then used to construct transfer matrices for U_{q^2}(\mathfrak{so}_{2n+1}) U q 2 ( 𝔰 𝔬 2 n + 1 ) - and U_{q}(\mathfrak{so}_{2n+2}) U q ( 𝔰 𝔬 2 n + 2 ) -symmetric closed spin chains. Their eigenvectors and eigenvalues are computed.

DOI: 10.21468/scipostphys.12.2.067

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