Consistent couplings between spin-2 and spin-3 massless fields

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX file. 29 pages, no figures. Minor corrections. Accepted for publication in JHEP

Scientific paper

10.1088/1126-6708/2006/11/034

We solve the problem of constructing consistent first-order cross-interactions between spin-2 and spin-3 massless fields in flat spacetime of arbitrary dimension n > 3 and in such a way that the deformed gauge algebra is non-Abelian. No assumptions are made on the number of derivatives involved in the Lagrangian, except that it should be finite. Together with locality, we also impose manifest Poincare invariance, parity invariance and analyticity of the deformations in the coupling constants.

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