A semilocal holographic minimal model

We present a conjecture on the complete spectrum of single-trace operators in the infinite N limit of W-N minimal model and evidence for the conjecture. We further propose that the holographic dual of W-N minimal model in the 't Hooft limit is an unusual "semilocal" higher spin gauge theory on AdS(3) x S-1. At each point on the S-1 lives a copy of three-dimensional Vasiliev theory, that contains an infinite tower of higher spin gauge fields coupled to a single massive complex scalar propagating in AdS(3). The Vasiliev theories at different points on the S-1 are correlated only through the AdS(3) boundary conditions on the massive scalars. All but one single tower of higher spin symmetries are broken by the boundary conditions.