Commuting difference operators with elliptic coefficients from Baxter's vacuum vectors

DOI10.1088/0305-4470/33/20/308zbMath0956.82010arXivmath/9912218OpenAlexW1975847293MaRDI QIDQ4507716

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Publication date: 8 October 2000

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

Full work available at URL: https://arxiv.org/abs/math/9912218

zbMATH Keywords

infinite-dimensional representationsBaxter \(Q\)-operatorelliptic \(R\)-matrixalgebra of observablesquantum integral models

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (12)

Analytic theory of the eight-vertex model ⋮ New elliptic solutions of the Yang-Baxter equation ⋮ Baxter \(Q\)-operators of the \(XXZ\) chain and \(R\)-matrix factorization ⋮ \(Q\)-operators in the six-vertex model ⋮ Intertwining operators for Sklyanin algebra and elliptic hypergeometric series ⋮ Multiple gamma function, its \(q\)- and elliptic analogue. ⋮ Factorization of the R-matrix and Baxter's \(Q\)-operator ⋮ Baxter operators for arbitrary spin ⋮ Yang-Baxter \(\mathcal R\)-operators and parameter permutations ⋮ General solution of the Yang–Baxter equation with symmetry group $\mathrm {SL}(\mathit {n},\mathbb {C})$ ⋮ \(Q\)-operators for higher spin eight vertex models with a rational anisotropy parameter ⋮ \(Q\)-operators for higher spin eight vertex models with an even number of sites

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