Spinorial \(R\) operator and algebraic Bethe ansatz

DOI10.1016/J.NUCLPHYSB.2019.114905zbMath1472.81120arXiv1911.08385OpenAlexW2991027981MaRDI QIDQ2230161

Roland Kirschner, D. R. Karakhanyan

Publication date: 17 September 2021

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.08385

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Spinor and twistor methods applied to problems in quantum theory (81R25) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Clifford algebras, spinors (15A66) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40) Polar geometry, symplectic spaces, orthogonal spaces (51A50) Yang-Baxter equations (16T25)

Related Items (4)

Exact solutions of the \(C_n\) quantum spin chain ⋮ Yang-Baxter \(R\)-operators for \(osp\) superalgebras ⋮ Representations of orthogonal and symplectic Yangians ⋮ Algebraic Bethe ansatz for \(\mathfrak{o}_{2n+1}\)-invariant integrable models

Cites Work

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• Algebraic Bethe Ansatz for SO(N)-invariant transfer matrices
• On the \(R\)-matrix realization of Yangians and their representations
• Isomorphism between the \(R\)-matrix and Drinfeld presentations of Yangian in types \(B\), \(C\) and \(D\)
• Equivalences between three presentations of orthogonal and symplectic Yangians
• Nested Bethe ansatz for the RTT algebra of \(sp(4)\) type
• Yangians and Yang-Baxter R-operators for ortho-symplectic superalgebras
• The spinorialR-matrix

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