No cross-interactions between the Weyl graviton and the massless Rarita-Schwinger field

Details No cross-interactions between the Weyl graviton and the massless Rarita-Schwinger field No cross-interactions between the Weyl graviton and the massless Rarita-Schwinger field

2007-04-20

arxiv.org/abs/0704.2658v1

AnnalenPhys.15:416-433,2006

Physics

High Energy Physics

High Energy Physics - Theory

26 pages

Scientific paper

10.1002/andp.200510181

The proof of the fact that there are no nontrivial, consistent cross-couplings that can be added between the Weyl graviton and the massless Rarita-Schwinger field is accomplished by means of a cohomological approach, based on the deformation of the solution to the master equation from the antifield-Becchi-Rouet-Stora-Tyutin (BRST) formalism. The procedure developed here relies on the assumptions of locality, smoothness, (background) Lorentz invariance, Poincare invariance, and preservation of the number of derivatives with respect to each field (the last hypothesis was made only in antighost number zero).

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