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arxiv: 1512.00821 · v2 · pith:OFFIFHELnew · submitted 2015-12-02 · 🧮 math-ph · math.MP

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

Victor Kac This is my paper
classification 🧮 math-ph math.MP
keywords algebrasvertexapplicationscentrodecemberenniofebruarygiorgi
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These lectures were given in Session 1: "Vertex algebras, W-algebras, and applications" of INdAM Intensive research period "Perspectives in Lie Theory" at the Centro di Ricerca Matematica Ennio De Giorgi, Pisa, Italy, December 9, 2014 -- February 28, 2015.

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Cited by 2 Pith papers

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  1. Poisson Vertex Algebra of Seiberg-Witten Theory

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    An explicit Poisson vertex algebra A is proposed as the perturbative holomorphic-topological observables of pure SU(2) Seiberg-Witten theory; its series refines the Schur index and a differential Q_inst is introduced ...

  2. Higher Courant-Dorfman algebras and associated higher Poisson vertex algebras

    math-ph 2023-02 unverdicted novelty 6.0

    Defines higher Courant-Dorfman algebras and higher Poisson vertex algebras, relates them to dg symplectic manifolds of degree n, proves analogous properties to classical versions, and applies the framework to BFV curr...