Non-Abelian bosonization in two dimensions
type: Item
instance of: scholarly article
title: Non-Abelian bosonization in two dimensions
zbMATH Open document ID: 0536.58012
DOI: 10.1007/BF01215276
published in: Communications in Mathematical Physics
publication date: 1984-01-01T00:00:00Z
review text: One of the most startling aspects of mathematical physics in \(1+1\) dimensions is the existence of a non-local transformation from local Fermi fields to local Bose fields. This fact is remarkably useful for elucidating the properties of a \(1+1\) dimensional theories. Many phenomena that are difficult to understand in the Fermi language have a simple semiclassical explanation in the Bose formalism. A major limitation of the usual bosonization procedure is that in the case of Fermi theories with non-Abelian symmetries, these symmetries are not preserved by the bosonization. In this paper the author gives a non-Abelian generalization of the usual formulas for bosonization of fermions in \(1+1\) dimensions which manifestly possess all the symmetries of the Fermi theory.
Mathematics Subject Classification ID: 81S10
Mathematics Subject Classification ID: 53D50
Mathematics Subject Classification ID: 81T60
zbMATH DE Number: 3852060
zbMATH Keywords: bosonization procedure
zbMATH Keywords: non-Abelian symmetries
zbMATH Keywords: Fermi theory
Wikidata QID: Q56504915
MaRDI profile type: Publication
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author: Edward Witten
description: scientific article; zbMATH DE number 3852060