[hal-01077511] Higher-order singletons and partially massless fields

We review the following higher-spin holographic duality conjecture the ON model at an isotropic Lifshitz point of criticality order l+1 should be dual to a higher-spin gravity theory whose spectrum contains a tower of partially massless symmetric tensor fields of all even spins and all odd depths between 1 and 2l−1 More precisely the Gaussian fixed point corresponding to free higher-order singletons on the d-dimensional boundary should be de-scribed in the bulk by the Vasiliev equations based on the symmetry algebra of the polywave equation of order 2l Moreover an elementary renormalization group analysis suggests that for l=2 and 5d11 both the free and the interacting isotropic Lifshitz point should be described by the same bulk theory but with distinct boundary conditions



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