4.4 Article

State/operator correspondence in higher-spin dS/CFT

Journal

CLASSICAL AND QUANTUM GRAVITY
Volume 30, Issue 10, Pages -

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/30/10/104002

Keywords

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Funding

  1. DOE [DE-FG02-91ER40654]
  2. Fundamental Laws Initiative at Harvard

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A recently conjectured microscopic realization of the dS(4)/CFT3 correspondence relating Vasiliev's higher-spin gravity on dS(4) 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 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 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 R-3 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.

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