Current algebras and Wess-Zumino model in two dimensions
type: Item
instance of: scholarly article
title: Current algebras and Wess-Zumino model in two dimensions
zbMATH Open document ID: 0661.17020
DOI: 10.1016/0550-3213(84)90374-2
author: S. H. Smith
publication date: 1984-01-01T00:00:00Z
review text: We investigate quantum field theory in two dimensions invariant with respect to conformal (Virasoro) and non-abelian current (Kac-Moody) algebras. The Wess-Zumino model is related to the special case of the representations of these algebras, the conformal generators being quadratically expressed in terms of currents. The anomalous dimensions of the Wess-Zumino fields are found exactly, and the multipoint correlation functions are shown to satisfy linear differential equations. In particular, Witten's non-abelian bosonisation rules are proven.
Mathematics Subject Classification ID: 17B65
Mathematics Subject Classification ID: 81T40
zbMATH DE Number: 4079702
zbMATH Keywords: quantum field theory
zbMATH Keywords: Virasoro
zbMATH Keywords: Kac-Moody
zbMATH Keywords: Wess-Zumino model
zbMATH Keywords: representations
Wikidata QID: Q56432473
MaRDI profile type: Publication
full work available at URL: 0550-3213(84)90374-2
OpenAlex ID: W1990991669
cites work: Q3956005
cites work: Non-Abelian bosonization in two dimensions
cites work: Infinite conformal symmetry in two-dimensional quantum field theory
published in: Nuclear Physics B
description: scientific article; zbMATH DE number 4079702