Higher-spin Interactions from CFT: The Complete Cubic Couplings
Abstract
In this letter we provide a complete holographic reconstruction of the cubic couplings in the minimal bosonic higher-spin theory in AdSd+1. For this purpose we also determine the OPE coefficients of all single-trace conserved currents in the d-dimensional free scalar O(N) vector model, and compute the tree-level three-point Witten diagram amplitudes for a generic cubic interaction of higher-spin gauge fields in the metric-like formulation.
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