Speaker
Description
We propose a general hypothesis for the correlation functions of same-spin conformal currents: that the Osborn–Petkou structural tensor for higher spins correlators, satisfying the appropriate symmetry conditions, can be constructed from combinations of the principal terms of spin-1 and spin-2 structural tensors, raised to the corresponding spin-s degree. Then construction
of the conserved three-point function is the algebraic task. We verify this hypothesis explicitly for spins three and four, and demonstrate that the resulting solutions can be interpreted as the CFT duals of cubic interactions in AdS space with one additional dimension. This framework then allows us to initiate a study of the higher-spin conformal anomaly structure, which emerges from the principal singularity of the three-point correlation function in $d = 4$.
