No interactions for a collection of spin-two fields intermediated by a massive Rarita-Schwinger field

Abstract

The cross-couplings among several massless spin-two fields (described in the free limit by a sum of Pauli-Fierz actions) in the presence of a massive Rarita-Schwinger field are investigated in the framework of the deformation theory based on local BRST cohomology. Under the hypotheses of locality, smoothness of the interactions in the coupling constant, Poincare invariance, Lorentz covariance, and the preservation of the number of derivatives on each field, we prove that there are no consistent cross-interactions among different gravitons with a positively defined metric in internal space in the presence of a massive Rarita-Schwinger field. The basic features of the couplings between a single Pauli-Fierz field and a massive Rarita-Schwinger field are also emphasized.

61 pages

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Cited by in corpus (6)

• On the uniqueness of D=11 interactions among a graviton, a massless gravitino and a three-form. I: Pauli-Fierz and three-form
• On the uniqueness of D=11 interactions among a graviton, a massless gravitino and a three-form. IV: Putting things together
• Classical and Quantum Cosmology of Multigravity
• Interactions for a collection of spin-two fields intermediated by a massless p-form
• Yes-go cross-couplings in collections of tensor fields with mixed symmetries of the type (3,1) and (2,2)
• Spontaneous Compactification of Bimetric Theory