Counting solutions of the Bethe equations of the quantum group invariant open XXZ chain at roots of unity

DOI10.1088/1751-8113/48/49/494003zbMath1341.82022arXiv1505.02104OpenAlexW3100790277WikidataQ58202885 ScholiaQ58202885MaRDI QIDQ3462552

Rafael I. Nepomechie, Wenrui Hao, Andrew John Sommese, Azat M. Gainutdinov

Publication date: 15 January 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.02104

zbMATH Keywords

quantum groupBethe ansatzsingular solutionsadmissible solutionsconformal field theoriesTemperley-Lieb algebraquantum spin chaintransfer matrix spectrumquantum integrable modelsBethe ansatz solutionscompletness issuenumerically tested conjecturesspectral degeneracy

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23) Exactly and quasi-solvable systems arising in quantum theory (81U15) Groups and algebras in quantum theory and relations with integrable systems (81R12) Yang-Baxter equations (16T25)

Related Items (14)

Algebraic Bethe ansatz for the quantum group invariant open XXZ chain at roots of unity ⋮ Extended T-systems, Q matrices and T-Q relations for $ \newcommand{\e}{{\rm e}} s\ell(2)$ models at roots of unity ⋮ Algebraic Bethe ansatz for the Temperley-Lieb spin-1 chain ⋮ Torus partition function of the six-vertex model from algebraic geometry ⋮ On generalized \(Q\)-systems ⋮ Yang–Baxter solution of dimers as a free-fermion six-vertex model ⋮ Flag integrable models and generalized graded algebras ⋮ Exactly solved models and beyond: a special issue in honour of R J Baxter’s 75th birthday ⋮ Structure constants of operators on the Wilson loop from integrability ⋮ Centralizing the centralizers ⋮ On Neeman’s gradient flows ⋮ Quantum group symmetries and completeness for $\boldsymbol {A}_{\boldsymbol {2n}}^{\boldsymbol{(2)}}$ open spin chains ⋮ Cylinder partition function of the 6-vertex model from algebraic geometry ⋮ Yang–Baxter integrable dimers on a strip

Uses Software

• Bertini

Cites Work

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