On the cubic interactions of massive and partially-massless higher spins in (A)dS
Abstract
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.
Keywords
Cite
@article{arxiv.1203.6578,
title = {On the cubic interactions of massive and partially-massless higher spins in (A)dS},
author = {Euihun Joung and Luca Lopez and Massimo Taronna},
journal= {arXiv preprint arXiv:1203.6578},
year = {2015}
}
Comments
42 pages, 2 tables, LaTex. Comments on two-derivative couplings involving partially-massless spin-2 fields added, typos corrected, references added. v2: final version to appear in JHEP. v3: formulae (3.4) and (3.9) corrected