Radial reduction and cubic interaction for higher spins in image space Original Research Article

We present a new version of the radial reduction formalism to obtain a cubic interaction of higher spin gauge fields in image space from the corresponding cubic interaction in a flat image-dimensional background. We modify the radial reduction procedure proposed previously by T. Biswas and W. Siegel in 2002 and applied to the free higher spin Lagrangian by K. Hallowell and A. Waldron in 2005 . This modified radial reduction scheme is applied to interacting massless higher spin fields in Fronsdalʼs formulation, and all results are expressed in a direct image invariant way with AdS covariant derivatives. We present a consistent algorithm and define new procedure to obtain all corrections proportional to powers of the cosmological constant, and apply these to the main term of the cubic self-interaction.