Higher-order singletons and partially massless fields

We review the following higher-spin holographic duality conjecture: the O(N) 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 described 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 6≤d≤10 both the free and the interacting isotropic Lifshitz point should be described by the same bulk theory but with distinct boundary conditions