Slavnov and Gaudin-Korepin formulas for models without \({\mathrm U}(1)\) symmetry: the twisted XXX chain

DOI10.3842/SIGMA.2015.099zbMath1334.82027arXiv1506.06550OpenAlexW2249646228MaRDI QIDQ903701

Samuel Belliard, Rodrigo A. Pimenta

Publication date: 15 January 2016

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06550

zbMATH Keywords

algebraic Bethe ansatzintegrable spin chainscalar product

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (12)

Modified algebraic Bethe ansatz: twisted XXX case ⋮ A note on \(\mathfrak{g}{\mathfrak{l}}_2 \)-invariant Bethe vectors ⋮ Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz ⋮ Algebraic Bethe ansatz for the XXZ Gaudin models with generic boundary ⋮ Correlation functions of the XXZ spin chain with the twisted boundary condition ⋮ Scalar product of twisted XXX modified Bethe vectors ⋮ Why scalar products in the algebraic Bethe ansatz have determinant representation ⋮ Overlap between usual and modified Bethe vectors ⋮ Scalar products of Bethe vectors in the 8-vertex model ⋮ Scalar products in twisted XXX spin chain. Determinant representation ⋮ Correlation functions for open XXZ spin 1/2 quantum chains with unparallel boundary magnetic fields ⋮ Scalar product for the XXZ spin chain with general integrable boundaries ^*

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