Introduction to vertex algebras, Poisson vertex algebras, and integrable Hamiltonian PDE

DOI10.1007/978-3-319-58971-8_1zbMath1430.17088arXiv1512.00821OpenAlexW2260484513MaRDI QIDQ1707319

Victor G. Kac

Publication date: 29 March 2018

Full work available at URL: https://arxiv.org/abs/1512.00821

zbMATH Keywords

Hamiltonian PDEquantum fieldvertex algebraPoisson vertex algebraZhu algebraLie conformal algebravariational complexLenard-Magri schemepre-vertex algebra

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Geometric theory, characteristics, transformations in context of PDEs (35A30)

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Arc spaces and chiral symplectic cores ⋮ Poisson vertex algebras in supersymmetric field theories ⋮ Rationality and fusion rules of exceptional \(\mathcal{W}\)-algebras ⋮ On Miura maps for \(\mathcal{W}\)-superalgebras ⋮ Supersymmetric \(W\)-algebras ⋮ On the structure of quantum vertex algebras ⋮ Rationality of the exceptional \(\mathcal{W}\)-algebras \(\mathcal{W}_k(\mathfrak{sp}_4,f_{subreg})\) associated with subregular nilpotent elements of \(\mathfrak{sp}_4\)

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