Gauge symmetry and Howe duality in 4D conformal field theory models
type: Item
instance of: scholarly article
title: Gauge symmetry and Howe duality in 4D conformal field theory models
zbMATH Open document ID: 1201.81096
DOI: 10.1155/2010/509538
published in: Advances in Mathematical Physics
publication date: 2010-11-16T00:00:00Z
full work available at URL: https://eudml.org/doc/227621
review text: Summary: It is known that there are no local scalar Lie fields in more than two dimensions. Bilocal fields, however, which naturally arise in conformal operator product expansions, do generate infinite Lie algebras. It is demonstrated that these Lie algebras of local observables admit (highly reducible) unitary positive energy representations in a Fock space. The multiplicity of their irreducible components is governed by a compact gauge group. The mutually commuting observable algebra and gauge group form a dual pair in the sense of Howe. In a theory of local scalar fields of conformal dimension two in four space-time dimensions the associated dual pairs are constructed and classified.
Mathematics Subject Classification ID: 81T40
zbMATH DE Number: 5816373
Wikidata QID: Q58650079
author: Ivan Todorov
MaRDI profile type: Publication
OpenAlex ID: W2000267568
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description: scientific article; zbMATH DE number 5816373