On the cubic interactions of massive and partially-massless higher spins in (A)dS

Details On the cubic interactions of massive and partially-massless higher spins in (A)dS On the cubic interactions of massive and partially-massless higher spins in (A)dS

2012-03-29

arxiv.org/abs/1203.6578v1

Physics

High Energy Physics

High Energy Physics - Theory

42 pages, 2 tables, LaTex

Scientific paper

Cubic interactions of massive and partially-massless totally-symmetric higher-spin fields in any constant-curvature background of dimension greater than three are investigated. Making use of the ambient-space formalism, the consistency condition for the traceless and transverse parts of the parity-invariant interactions is recast into a system of partial differential equations. The latter can be explicitly solved for given s_1-s_2-s_3 couplings and the 2-2-2 and 3-3-2 examples are provided in detail for general choices of the masses. On the other hand, the general solutions for the interactions involving massive and massless fields are expressed in a compact form as generating functions of all the consistent couplings. The St\"uckelberg formulation of the cubic interactions as well as their massless limits are also analyzed.

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