Lectures on integrable hierarchies and vertex operators
High Energy Physics - Theory
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.hep-th/0402097,
title = {Lectures on integrable hierarchies and vertex operators},
author = {A. A. Vladimirov},
journal= {arXiv preprint arXiv:hep-th/0402097},
year = {2007}
}
Comments
AMSLaTeX, 28 pages. Lectures given at the 2004 DIAS-TH Winter school on theoretical physics in Dubna, Russia. Last updates and other lecture notes are available at http://thsun1.jinr.ru/~alvladim/qft.html