Gravitational cubic interactions for a simple mixed-symmetry gauge field in AdS and flat backgrounds

Details Gravitational cubic interactions for a simple mixed-symmetry gauge field in AdS and flat backgrounds Gravitational cubic interactions for a simple mixed-symmetry gauge field in AdS and flat backgrounds

2011-07-10

arxiv.org/abs/1107.1872v2

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, no figures; refs added, typos corrected

Scientific paper

Cubic interactions between the simplest mixed-symmetry gauge field and gravity are constructed in anti-de Sitter (AdS) and flat backgrounds. Nonabelian cubic interactions are obtained in AdS following various perturbative methods including the Fradkin-Vasiliev construction, with and without Stueckelberg fields. The action that features the maximal number of Stueckelberg fields can be considered in the flat limit without loss of physical degrees of freedom. The resulting interactions in flat space are compared with a classification of vertices obtained via the antifield cohomological perturbative method. It is shown that the gauge algebra becomes abelian in the flat limit, in contrast to what happens for totally symmetric gauge fields in AdS.

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