We study operators with a bare dimension that grows as N^2 in the large N limit. These operators are labeled by a Young diagram with p long rows, as well as a graph, with p nodes. The dilatation operator describing the mixing of these operators defines a Hamiltonian for excitations hopping on this graph. The scrambling and equilibration of the resulting dynamics is studied. [For zoom link please contact jung-wook(dot)kim(at)qmul(dot)ac(dot)uk]

In this talk we will discuss the collective field theory approach towards understanding the holographic duality between Vasiliev's minimal higher spin theory in AdS4 and the free O(N) vector model in 2+1 dimensions.