State/Operator Correspondence in Higher-Spin dS/CFT
Apr, 2012Citations per year
Abstract: (IOP)
A recently conjectured microscopic realization of the dS(4)/CFT(3) correspondence relating Vasiliev's higher-spin gravity on dS(4) to a Euclidean Sp(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 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 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 Sp(N) CFT(3).Note:
- 24 pages
- duality: holography
- Sp(N)
- quasinormal mode
- Hilbert space
- vacuum state
- spin: high
- space-time: de Sitter
- boundary condition
- field theory: conformal
References(25)
Figures(0)
- [1]
- [1]
- [1]
- [2]
- [3]
- [4]
- [5]
- [6]
- [7]
- [8]
- [9]
- [10]
- [11]
- [12]
- [13]
- [14]
- [15]
- [16]
- [17]
- [18]
- [19]
- [20]
- [21]
- [22]
- [23]