The goldstone fields of interacting higher spin field theory in AdS(4)

A higher spin field theory on AdS(4) possesses a conformal theory on the boundary R (3) which can be identified with the critical O ( N ) sigma model of O ( N ) invariant fields only. The notions of quasiprimary and secondary fields can be carried over to the AdS theory. If de Donder’s gauge is appl...

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Bibliographic Details
Published in:Physics of atomic nuclei 2008-06, Vol.71 (6), p.1109-1115
Main Author: Ruehl, W.
Format: Article
Language:English
Subjects:
ANGULAR MOMENTUM
ANTI DE SITTER SPACE
Armenia
BOSON-EXCHANGE MODELS
BOSONS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
DYNAMICAL GROUPS
ELEMENTARY PARTICLES
FIELD THEORIES
GAUGE INVARIANCE
GOLDSTONE BOSONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
O GROUPS
Particle and Nuclear Physics
PARTICLE MODELS
PARTICLE PROPERTIES
PERIPHERAL MODELS
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
POSTULATED PARTICLES
Proceedings of the XII International Conference on Symmetry Methods in Physics July 3–8
SIGMA MODEL
SPACE
SPIN
SYMMETRY GROUPS
Yerevan
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Summary:A higher spin field theory on AdS(4) possesses a conformal theory on the boundary R (3) which can be identified with the critical O ( N ) sigma model of O ( N ) invariant fields only. The notions of quasiprimary and secondary fields can be carried over to the AdS theory. If de Donder’s gauge is applied, the traceless part of the higher spin field on AdS(4) is quasiprimary and the Goldstone fields are quasiprimary fields to leading order too. Those fields corresponding to the Goldstone fields in the critical O ( N ) sigma model are odd-rank symmetric tensor currents which vanish in the free-field limit.
ISSN:1063-7788
1562-692X
DOI:10.1134/S1063778808060148