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 S 2 are holographically dual to bulk states on geodesically complete, spacelike R3 slices which terminate on an S 2 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 planewave 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.