Higher current algebras, homotopy Manin triples, and a rectilinear adelic complex

DOI10.1016/j.geomphys.2023.104903arXiv2208.06009OpenAlexW4380741602MaRDI QIDQ6170726

Luigi Alfonsi, Charles A. S. Young

Publication date: 10 August 2023

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.06009

zbMATH Keywords

differential graded Lie algebrashigher current algebrahomotopy Manin triple

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Poisson algebras (17B63)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A universal enveloping for \(L_\infty\)-algebras.
• On the Parshin-Beilinson adeles for schemes
• Simplicial De Rham cohomology and characteristic classes of flat bundles
• Gaudin model, Bethe ansatz and critical level
• Spectra of quantum KdV Hamiltonians, Langlands duality, and affine opers
• Higher Kac-Moody algebras and moduli spaces of \(G\)-bundles
• Residues and adeles
• Complex manifolds and deformation of complex structures. Transl. from the Japanese by Kazuo Akao
• New integrable coset sigma models
• Cubic hypergeometric integrals of motion in affine Gaudin models
• Higher Kac-Moody algebras and symmetries of holomorphic field theories
• The Milnor-Moore theorem for \(L_\infty\) algebras in rational homotopy theory
• An analog of the Feigin-Frenkel homomorphism for double loop algebras
• Assembling integrable \({\sigma}\)-models as affine Gaudin models
• Unimodular homotopy algebras and Chern-Simons theory
• Affine Gaudin models and hypergeometric functions on affine opers
• Miura opers and critical points of master functions
• Strongly homotopy Lie bialgebras and Lie quasi-bialgebras
• Infinite-dimensional (dg) Lie algebras and factorization algebras in algebraic geometry
• Cosimplicial DGLAs in Deformation Theory
• Schubert calculus and representations of the general linear group
• Representations of Higher Adelic Groups and Arithmetic
• Quantization of soliton systems and Langlands duality
• An adelic resolution for homology sheaves
• On 𝑃𝐿 de Rham theory and rational homotopy type
• Homological algebra of homotopy algebras
• Introduction to Classical Integrable Systems
• Minimal models of quantum homotopy Lie algebras via the BV-formalism
• On Integrable Field Theories as Dihedral Affine Gaudin Models
• Constrained affine Gaudin models and diagonal Yang–Baxter deformations
• Bethe eigenvectors of higher transfer matrices
• Affine opers and conformal affine Toda
• Quartic Hamiltonians, and higher Hamiltonians at next-to-leading order, for the affine sl2 Gaudin model
• Algebraic Operads
• L_∞‐Algebras of Classical Field Theories and the Batalin–Vilkovisky Formalism

This page was built for publication: Higher current algebras, homotopy Manin triples, and a rectilinear adelic complex