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Lectures on integrable hierarchies and vertex operators

Year: 2004

Type: preprint

Abstract: This is a write-up of lectures intended for (under)graduate students. Contents: Scalar Ansatz (KP hierarchy). Fermionic Fock space. Fermi-Bose correspondence. KP hierarchy via free fermions. Formal distributions and locality. Operator product expansion. Vertex algebras. Free fermions. Virasoro algebra in KdV.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.hep-th/0402097

Author: Vladimirov, A. A.

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4394649882

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