Liouville reflection operator, affine Yangian and Bethe ansatz

DOI10.1007/JHEP12(2020)100zbMath1457.81103arXiv2007.00535MaRDI QIDQ2660244

Ilya Vilkoviskiy, Alexey Litvinov

Publication date: 29 March 2021

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.00535

zbMATH Keywords

conformal field theoryBethe ansatz

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (16)

(β-deformed) Hurwitz–Kontsevich model and affine Yangian of gl(1) ⋮ Computing the R-matrix of the quantum toroidal algebra ⋮ Yang–Baxter algebra and MacMahon representation ⋮ Quantum toroidal comodule algebra of type \(A_{n-1}\) and integrals of motion ⋮ Quiver Yangians and -algebras for generalized conifolds ⋮ More on affine Dynkin quiver Yangians ⋮ A note on quiver Yangians and \(\mathcal{R}\)-matrices ⋮ BPS states meet generalized cohomology ⋮ Symmetric functions and 3D fermion representation of \(W_{1+\infty}\) algebra ⋮ Gauge/Bethe correspondence from quiver BPS algebras ⋮ Shifted quantum groups and matter multiplets in supersymmetric gauge theories ⋮ Integrable structure of BCD conformal field theory and boundary Bethe ansatz for affine Yangian ⋮ ODE/IQFT correspondence for the generalized affine \(\mathfrak{sl} (2)\) Gaudin model ⋮ The \(R\)-matrix of the quantum toroidal algebra \(U_{q,t}(\overset{..}{gl}_1)\) in the Fock module ⋮ Affine Yangian of \(\mathfrak{gl}(2)\) and integrable structures of superconformal field theory ⋮ R-matrix formulation of affine Yangian of \(\widehat{\mathfrak{gl}}(1|1)\)

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