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High Energy Physics - Theory, hep-th,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
Abstract:
Generating functions encoding cubic interactions of (partially-)massless
higher-spin fields are provided within the ambient-space formalism. They
satisfy a system of higher-order partial differential equations that can be
explicitly solved due to their factorized form. We find that the number of
consistent couplings increases whenever the squares of the field masses take
some integer values (in units of the cosmological constant) and satisfy certain
conditions. Moreover, it is shown that only the supplemental solutions can give
rise to non-Abelian deformations of the gauge symmetries. The presence of these
conditions on the masses is a distinctive feature of (A)dS interactions that
has in general no direct counterpart in flat space.
