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Algebraic Bethe Ansatz for spinor R-matrices

Vidas Regelskis

SciPost Phys. 12, 067 (2022) · published 17 February 2022


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

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