Off-shell construction of some trilinear higher spin gauge field interactions Original Research Article

Several trilinear interactions of higher spin fields involving two equal (image) and one higher even (image) spin are presented. Interactions are constructed on the Lagrangian level using Noetherʹs procedure together with the corresponding next to free level fields of the gauge transformations. In certain cases when the number of derivatives in the transformation is image the interactions lead to the currents constructed from the generalization of the gravitational Bell–Robinson tensors. In other cases when the number of derivatives in the transformation is more than image we obtain the finite tower of interactions with smaller even spins less than image in full agreement with our previous results for the interaction of the higher even spins field with a conformal scalar [R. Manvelyan, K. Mkrtchyan, Conformal invariant interaction of a scalar field with the higher spin field in image, ; R. Manvelyan, W. Rühl, Conformal coupling of higher spin gauge fields to a scalar field in image and generalized Weyl invariance, Phys. Lett. B 593 (2004) 253 ].