No multi-graviton theories in the presence of a Dirac field

Details No multi-graviton theories in the presence of a Dirac field No multi-graviton theories in the presence of a Dirac field

2007-04-18

arxiv.org/abs/0704.2321v1

JHEP0502:016,2005

Physics

High Energy Physics

High Energy Physics - Theory

48 pages

Scientific paper

10.1088/1126-6708/2005/02/016

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 Dirac 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, (background) Lorentz invariance and the preservation of the number of derivatives on each field, we prove that there are no consistent cross-interactions among different gravitons in the presence of a Dirac field. The basic features of the couplings between a single Pauli-Fierz field and a Dirac field are also emphasized.

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