Populations of solutions to cyclotomic Bethe equations

DOI10.3842/SIGMA.2015.091zbMath1341.82025arXiv1505.07582OpenAlexW1570179898MaRDI QIDQ903690

Alexander Varchenko, Charles A. S. Young

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/1505.07582

zbMATH Keywords

Hecke algebrasKac-Moody algebrasBethe ansatzGaudin modelarrangements of hyperplanesBethe equationsquantum integrable modelsBethe populationscritical points of master functionscyclotomic populationscyclotomic self-dualitycyclotomic symmetryextended master equationKnizhnik-Zamolodchikov (KZ) equationsnon-cyclotomic Gaudin modelvector spaces of quasi-polynomials

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Relations with arrangements of hyperplanes (32S22) PDEs in connection with quantum mechanics (35Q40) Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12) Critical phenomena in equilibrium statistical mechanics (82B27) PDEs in connection with statistical mechanics (35Q82)

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Cyclotomic Gaudin models, Miura opers and flag varieties

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