Folded quantum integrable models and deformed \(W\)-algebras

DOI10.1007/s11005-022-01565-8OpenAlexW4290973713MaRDI QIDQ2674358

Nicolai Reshetikhin, David Hernandez, Edward V. Frenkel'

Publication date: 12 September 2022

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

Full work available at URL: https://arxiv.org/abs/2110.14600

zbMATH Keywords

Bethe ansatzGaudin modelquantum affine algebraintegrable modeldeformed \(W\)-algebraq-character

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) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Exactly solvable models; Bethe ansatz (82B23) Applications of Lie algebras and superalgebras to integrable systems (17B80)

Related Items (9)

\(Q\widetilde{Q}\)-systems for twisted quantum affine algebras ⋮ Bethe/gauge correspondence for linear quiver theories with ABCD gauge symmetry and spin chains ⋮ The \((q, t)\)-Cartan matrix specialized at \(q=1\) and its applications ⋮ \(q\)-opers, \(QQ\)-systems, and Bethe ansatz II: generalized minors ⋮ \(q\)-opers, \(QQ\)-systems, and Bethe Ansatz ⋮ A functor for constructing R$R$‐matrices in the category O$\mathcal {O}$ of Borel quantum loop algebras ⋮ On Wronskians and 𝑞𝑞-systems ⋮ Exact solution of the \(q\)-deformed \(D_3^{(1)}\) vertex model with open boundaries ⋮ Twisted chiral algebras of class \({\mathcal{S}}\) and mixed Feigin-Frenkel gluing

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