Quartic Hamiltonians, and higher Hamiltonians at next-to-leading order, for the affine sl2 Gaudin model

DOI10.1088/1751-8121/acbacfOpenAlexW4319660819MaRDI QIDQ5879393

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Publication date: 1 March 2023

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

Full work available at URL: https://arxiv.org/abs/2205.15815

zbMATH Keywords

integrable systemsintegrable modelsGaudin modelsaffine Gaudin modelshigher Hamiltonians\(\mathfrak{sl}_2\) Gaudin modelhigher Hamiltonians at leading order

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of Lie algebras and superalgebras to integrable systems (17B80) Special quantum systems, such as solvable systems (81Q80) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37)

Related Items (3)

On a class of conformal \(\mathcal{E}\)-models and their chiral Poisson algebras ⋮ Higher current algebras, homotopy Manin triples, and a rectilinear adelic complex ⋮ Integrable sigma models at RG fixed points: quantisation as affine Gaudin models

Uses Software

• FORM

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