State/operator correspondence in higher-spin dS/CFT

Abstract

A recently conjectured microscopic realization of the dS4/CFT3 correspondence relating Vasiliev's higher-spin gravity on dS4 to a Euclidean Sp(N) CFT3 is used to illuminate some previously inaccessible aspects of the dS/CFT dictionary. In particular it is argued that states of the boundary CFT3 on S2 are holographically dual to bulk states on geodesically complete, spacelike R3 slices which terminate on an S2 at future infinity. The dictionary is described in detail for the case of free scalar excitations. The ground states of the free or critical Sp(N) model are dual to dS-invariant plane-wave type vacua, while the bulk Euclidean vacuum is dual to a certain mixed state in the CFT3. CFT3 states created by operator insertions are found to be dual to (anti) quasinormal modes in the bulk. A norm is defined on the R3 bulk Hilbert space and shown for the scalar case to be equivalent to both the Zamolodchikov and pseudounitary C-norm of the Sp(N) CFT3.