State/Operator Correspondence in Higher-Spin dS/CFT

Gim Seng Ng; Andrew Strominger

doi:10.1088/0264-9381/30/10/104002

paper

State/Operator Correspondence in Higher-Spin dS/CFT

arXiv:1204.1057 · doi:10.1088/0264-9381/30/10/104002

Abstract

A recently conjectured microscopic realization of the dS $_{4}$ /CFT $_{3}$ correspondence relating Vasiliev's higher-spin gravity on dS $_{4}$ to a Euclidean $S p (N)$ CFT $_{3}$ is used to illuminate some previously inaccessible aspects of the dS/CFT dictionary. In particular it is argued that states of the boundary CFT $_{3}$ on $S^{2}$ are holographically dual to bulk states on geodesically complete, spacelike $R^{3}$ 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 $S p (N)$ model are dual to dS-invariant plane-wave type vacua, while the bulk Euclidean vacuum is dual to a certain mixed state in the CFT $_{3}$ . CFT $_{3}$ states created by operator insertions are found to be dual to (anti) quasinormal modes in the bulk. A norm is defined on the $R^{3}$ bulk Hilbert space and shown for the scalar case to be equivalent to both the Zamolodchikov and pseudounitary C-norm of the $S p (N)$ CFT $_{3}$ .

24 pages

State/Operator Correspondence in Higher-Spin dS/CFT

Abstract

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