English

Algebraic Bethe Ansatz for spinor R-matrices

Exactly Solvable and Integrable Systems 2021-11-04 v2 High Energy Physics - Theory Mathematical Physics math.MP Representation Theory

Abstract

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 Uq2(so2n+1)U_{q^2}(\mathfrak{so}_{2n+1})- and Uq(so2n+2)U_{q}(\mathfrak{so}_{2n+2})-symmetric closed spin chains. Their eigenvectors and eigenvalues are computed.

Keywords

Cite

@article{arxiv.2108.07580,
  title  = {Algebraic Bethe Ansatz for spinor R-matrices},
  author = {Vidas Regelskis},
  journal= {arXiv preprint arXiv:2108.07580},
  year   = {2021}
}

Comments

37 pages; v2: minor corrections

R2 v1 2026-06-24T05:11:10.836Z