Gauge Symmetry and Howe Duality in 4D Conformal Field Theory Models
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-01-27
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Todorov, Ivan. 2010. Gauge Symmetry and Howe Duality in 4D Conformal Field Theory Models. Advances in Mathematical Physics،Vol. 2010, no. 2010, pp.1-12.
https://search.emarefa.net/detail/BIM-477330
Modern Language Association (MLA)
Todorov, Ivan. Gauge Symmetry and Howe Duality in 4D Conformal Field Theory Models. Advances in Mathematical Physics No. 2010 (2010), pp.1-12.
https://search.emarefa.net/detail/BIM-477330
American Medical Association (AMA)
Todorov, Ivan. Gauge Symmetry and Howe Duality in 4D Conformal Field Theory Models. Advances in Mathematical Physics. 2010. Vol. 2010, no. 2010, pp.1-12.
https://search.emarefa.net/detail/BIM-477330
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-477330