Boundary conditions and partition functions in higher spin AdS3/CFT2

We suggest a general relation between theories of infinite number of higher-spin massless gauge fields in \(AdS_{d+1}\) and large \(N\) conformal theories in \(d\) dimensions containing \(N\)-component vector fields. In particular, we propose that the singlet sector of the well-known critical 3-d O(N) model with the \((\phi^a \phi^a)^2\) interaction is dual, in the large \(N\) limit, to the minimal bosonic theory in \(AdS_4\) containing massless gauge fields of even spin.