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Effective action in a higher-spin background
Bekaert X., Joung E., Mourad J.
Journal of High Energy Physics 02 (2011) 048 - http://hal.archives-ouvertes.fr/hal-00739301
Physique/Physique des Hautes Energies - Théorie
Effective action in a higher-spin background
X. Bekaert1, E. Joung2, J. Mourad2
1 :  LMPT - Laboratoire de Mathématiques et Physique Théorique
Université François Rabelais - Tours – CNRS : UMR7350
Avenue Monge Parc de Grandmont - 37200 Tours
2 :  APC - UMR 7164 - AstroParticule et Cosmologie
CNRS : UMR7164 – IN2P3 – Observatoire de Paris – Université Paris VII - Paris Diderot – CEA : DSM/IRFU
APC - UMR 7164, Université Paris Diderot, 10 rue Alice Domon et Léonie Duquet, case postale 7020, F-75205 Paris Cedex 13
We consider a free massless scalar field coupled to an infinite tower of background higher-spin gauge fields via minimal coupling to the traceless conserved currents. The set of Abelian gauge transformations is deformed to the non-Abelian group of unitary operators acting on the scalar field. The gauge invariant effective action is computed perturbatively in the external fields. The structure of the various (divergent or finite) terms is determined. In particular, the quadratic part of the logarithmically divergent (or of the finite) term is expressed in terms of curvatures and related to conformal higher-spin gravity. The generalized higher-spin Weyl anomalies are also determined. The relation with the theory of interacting higher-spin gauge fields on anti de Sitter spacetime via the holographic correspondence is discussed.

Journal of High Energy Physics
Publisher Institute of Physics (IOP)
ISSN 1126-6708 (eISSN : 1029-8479)
Articles dans des revues avec comité de lecture

AdS-CFT Correspondence – Conformal and W Symmetry – Anomalies in Field and String Theories
40 pages, Some errors and typos corrected, Version published in JHEP

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