Integrable light-cone lattice discretizations from the universal \(\text{R}\)-matrix

DOI10.4310/ATMP.2017.v21.n5.a3zbMath1425.81086arXiv1504.04572OpenAlexW2963118243MaRDI QIDQ1704534

Carlo Meneghelli, Jörg Teschner

Publication date: 12 March 2018

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

Full work available at URL: https://arxiv.org/abs/1504.04572

zbMATH Keywords

two-dimensional field theoriesBaxter Q-operatorsintegrable light-cone lattice regularizationquantum field theory on latticesquantum groups and related algebraic methods

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) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Quantum field theory on lattices (81T25) Groups and algebras in quantum theory and relations with integrable systems (81R12) Discrete version of topics in analysis (39A12) Lattice dynamics; integrable lattice equations (37K60) Yang-Baxter equations (16T25) Partial difference equations (39A14)

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Highest \(\ell\)-weight representations and functional relations ⋮ Complete spectrum of quantum integrable lattice models associated to $\boldsymbol {\mathcal{U}_{q} (\widehat{gl_{n}})}$ by separation of variables ⋮ A note on \(q\)-oscillator realizations of \(U_q(gl(M|N))\) for Baxter \(Q\)-operators ⋮ Integrable sigma models at RG fixed points: quantisation as affine Gaudin models ⋮ Quantum trilogy: discrete Toda, Y-system and chaos ⋮ Oscillator versus prefundamental representations. II. Arbitrary higher ranks ⋮ Universal Baxter TQ-relations for open boundary quantum integrable systems ⋮ Quantum groups and functional relations for arbitrary rank ⋮ Vertex models and spin chains in formulas and pictures ⋮ Algebraic Bethe ansatz for Q-operators of the open XXX Heisenberg chain with arbitrary spin

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