The center of a quantum affine algebra at the critical level

DOI10.4310/MRL.1994.v1.n4.a7zbMath0833.17008arXivhep-th/9403064OpenAlexW2962860330MaRDI QIDQ1902180

Jintai Ding, Pavel I. Etingof

Publication date: 21 February 1996

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9403064

zbMATH Keywords

intertwining operatorrepresentationssingular vectorstransfer matricesquantum affine algebraVerma modulehighest weight vectorBethe vectorsuniversal \(R\)-matrixcentral elementscritical levelGrothendieck algebraquasiclassical expansionSugawara current

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (5)

Higher Sugawara operators for the quantum affine algebras of type \(A\) ⋮ Center of the quantum affine vertex algebra associated with trigonometric R-matrix ⋮ \((\text{SL}(N), q)\)-opers, the \(q\)-Langlands correspondence, and quantum/classical duality ⋮ On classical limits of Bethe subalgebras in Yangians ⋮ An integrable vertex model and the quantum affine algebra \(U_q(\widehat{sl}(2))\) at the critical level

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