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Area-preserving diffeomorphisms and higher-spin algebras

Abstract

We show that there exists a one-parameter family of infinite-dimensional algebras that includes the bosonic d=3 Fradkin-Vasiliev higher-spin algebra and the non-Euclidean version of the algebra of area-preserving diffeomorphisms of the two-sphere S{sup 2} as two distinct members. The non-Euclidean version of the area preserving algebra corresponds to the algebra of area-preserving diffeomorphisms of the hyperbolic space S{sup 1,1}, and can be rewritten as lim{sub Nyieldsinfinity} su(N,N). As an application of our results, we formulate a new d=2+1 massless higher-spin field theory as the gauge theory of the area-preserving diffeomorphisms of S{sup 1,1}. (orig.).
Authors:
Bergshoeff, E; [1]  Blencowe, M P; Stelle, K S [2] 
  1. European Organization for Nuclear Research, Geneva (Switzerland). Theory Div.
  2. Imperial Coll. of Science and Technology, London (UK). Blackett Lab.
Publication Date:
Mar 01, 1990
Product Type:
Journal Article
Reference Number:
DEN-90-001008; EDB-90-037453
Resource Relation:
Journal Name: Communications in Mathematical Physics; (Germany, F.R.); Journal Volume: 128:2
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; UNIFIED GAUGE MODELS; TOPOLOGICAL MAPPING; ASYMPTOTIC SOLUTIONS; BOSONS; COMMUTATION RELATIONS; FIELD ALGEBRA; FIELD OPERATORS; MASSLESS PARTICLES; POLYNOMIALS; RIEMANN SPACE; SMOOTH MANIFOLDS; SPACE-TIME; SU GROUPS; THREE-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL CALCULATIONS; ELEMENTARY PARTICLES; FUNCTIONS; LIE GROUPS; MAPPING; MATHEMATICAL MANIFOLDS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; PARTICLE MODELS; QUANTUM OPERATORS; SPACE; SYMMETRY GROUPS; TRANSFORMATIONS; 645400* - High Energy Physics- Field Theory
OSTI ID:
5017657
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 0010-3616; CODEN: CMPHA
Submitting Site:
DEN
Size:
Pages: 213-230
Announcement Date:

Citation Formats

Bergshoeff, E, Blencowe, M P, and Stelle, K S. Area-preserving diffeomorphisms and higher-spin algebras. Germany: N. p., 1990. Web. doi:10.1007/BF02108779.
Bergshoeff, E, Blencowe, M P, & Stelle, K S. Area-preserving diffeomorphisms and higher-spin algebras. Germany. doi:10.1007/BF02108779.
Bergshoeff, E, Blencowe, M P, and Stelle, K S. 1990. "Area-preserving diffeomorphisms and higher-spin algebras." Germany. doi:10.1007/BF02108779. https://www.osti.gov/servlets/purl/10.1007/BF02108779.
@misc{etde_5017657,
title = {Area-preserving diffeomorphisms and higher-spin algebras}
author = {Bergshoeff, E, Blencowe, M P, and Stelle, K S}
abstractNote = {We show that there exists a one-parameter family of infinite-dimensional algebras that includes the bosonic d=3 Fradkin-Vasiliev higher-spin algebra and the non-Euclidean version of the algebra of area-preserving diffeomorphisms of the two-sphere S{sup 2} as two distinct members. The non-Euclidean version of the area preserving algebra corresponds to the algebra of area-preserving diffeomorphisms of the hyperbolic space S{sup 1,1}, and can be rewritten as lim{sub Nyieldsinfinity} su(N,N). As an application of our results, we formulate a new d=2+1 massless higher-spin field theory as the gauge theory of the area-preserving diffeomorphisms of S{sup 1,1}. (orig.).}
doi = {10.1007/BF02108779}
journal = {Communications in Mathematical Physics; (Germany, F.R.)}
volume = {128:2}
journal type = {AC}
place = {Germany}
year = {1990}
month = {Mar}
}