• DOI:10.1140/epjc/s2006-02620-9
• Corpus ID: 14715299

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

@article{Bizdadea2006NoIF,
  title={No interactions for a collection of spin-two fields intermediated by a massive Rarita–Schwinger field},
  author={Constantin Bizdadea and Eugen-Mihăiţă Cioroianu and Delia Cornea and Solange-Odile Saliu and S. C. Săraru},
  journal={The European Physical Journal C - Particles and Fields},
  year={2006},
  volume={48},
  pages={265-289}
}

• C. Bizdadea, E. Cioroianu, +2 authors S. Săraru
• Published 28 July 2006
• Mathematics
• The European Physical Journal C - Particles and Fields

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, Poincaré 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.