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High Energy Physics - Theory, hep-th
Abstract:
In the context of higher-spin holography, we compare the classification of
cubic interaction vertices for higher-spin gravity theories in three dimensions
to the possible three-point correlation functions of conserved higher-spin
currents in two-dimensional conformal field theories. In both cases, the
allowed structures are governed by triangle inequalities for the involved
spins. It is established that higher-order correlators satisfy similar polygon
inequalities and that the same inequalities are valid for higher-order
continuations of cubic vertices in the three-dimensional higher-spin gravity.
