Factorization of \mathcal{R} -matrix and Baxter \mathcal{Q} -operators for genericsl(N) spin chains

DOI10.1088/1751-8113/42/7/075204zbMath1157.82011arXiv0809.2050OpenAlexW3121450945MaRDI QIDQ3612175

Sergey E. Derkachov, Alexander N. Manashov

Publication date: 3 March 2009

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

Full work available at URL: https://arxiv.org/abs/0809.2050

Mathematics Subject Classification ID

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

Related Items

Completeness of Wronskian Bethe equations for rational \(\mathfrak{gl}_{\mathsf{m}|\mathsf{n}}\) spin chains, Conformal algebra: R-matrix and star-triangle relation, T-system on T-hook: Grassmannian solution and twisted quantum spectral curve, Yangian symmetry for bi-scalar loop amplitudes, Mellin-Barnes representation for \(\mathrm{SL} (2, \mathbb{C} ) \)-magnet, Recursive properties of branching and BGG resolution, Transfer matrices of rational spin chains via novel BGG-type resolutions, Solutions of the T-system and Baxter equations for supersymmetric spin chains, Asymptotic representations and \(q\)-oscillator solutions of the graded Yang-Baxter equation related to Baxter Q-operators, Baxter's Q-operators and operatorial Bäcklund flow for quantum (super)-spin chains, Noncompact \(\mathrm{sl}(N)\) spin chains: BGG-resolution, Q-operators and alternating sum representation for finite-dimensional transfer matrices, Baxter operators for arbitrary spin. II., Yang-Baxter \(R\)-operators for \(osp\) superalgebras, Integrability of conformal fishnet theory, Chiral limit of \( \mathcal{N} = 4\) SYM and ABJM and integrable Feynman graphs, String hypothesis for \({{\mathfrak{g}\mathfrak{l} (\mathfrak{n} | \mathfrak{m})}}\) spin chains: a particle/hole democracy, Baxter \(Q\)-operator from quantum \(K\)-theory, Classical tau-function for quantum spin chains, Determinant form of correlators in high rank integrable spin chains via separation of variables