Higher spin realization of the DS/CFT correspondence

By Dionysios Anninos, Thomas Hartman, Andrew Strominger. 2011

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We conjecture that Vasiliev’s theory of higher spin gravity in four-dimensional de Sitter space (dS4) is holographically dual to a three-dimensional conformal field theory (CFT3) living on the spacelike boundary of dS4 at future timelike infinity. The CFT3 is the Euclidean Sp(N) vector model with anticommuting scalars. The free CFT3 flows under a double-trace deformation to an interacting CFT3 in the IR. We argue that both CFTs are dual to Vasiliev dS4 gravity but with different future boundary conditions on the bulk scalar field. Our analysis rests heavily on analytic continuations of bulk and boundary correlators in the proposed duality relating the O(N) model with Vasiliev gravity in AdS4.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/fa68e3a33c5d54fd4a47f63f31d145688c6f87de

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Citations in the corpus

Replica wormholes and the black hole interior (2019, methodology): “Here, in nearly de-Sitter gravity, the path integrals are given by analytic continuation of JT gravity path integrals, see [48, 77] (or more generally [78, 79]) for details of this analytic continuation.”
DE SITTER MUSINGS (2012, background): “In order to match the bulk n-point functions one must further impose that these fields be anti-commuting [109].”
What if string theory has no de Sitter vacua? (2018, background): “Nonetheless explicit dS/CFT proposals do exist [192,193], but they are all formulated within Vasiliev gravity.”
Warped Conformal Field Theory (2012, background): “[19, 20, 21, 22, 23, 24, 25]) spacetimes, of clear importance for physical applications.”
Higher order singletons, partially massless fields and their boundary values in the ambient approach (2013, background): “Following the conjecture of [68], one might further speculate that e EuclideanSp(N) vector model with anticommuting scalars at multicritical isotrop ic Lifshitz points might be dual to (unitary) HS theories of partially massless tensor fields around de Sitter spacetime.”
The Cosmological Bootstrap: Spinning correlators from symmetries and factorization (2020, background): “Clear targets are to understand (broken) supersymmetry and the viability of Vasiliev-like theories [75, 114] from this bootstrap perspective.”
The cosmological bootstrap: inflationary correlators from symmetries and singularities (2018, neutral): “A holographic description of cosmology [17–35] is even more confusing, since the boundary geometry is a Euclidean manifold, and there is no notion of boundary time.”
Bounding the space of holographic CFTs with chaos (2016, neutral): “[67,70–73], although ideally not packaged with acausality.”
Minimal model holography (2012, background): “A dS4/CFT3 correspondence has been advanced for 4d Vasiliev theories [10].”
Surface/State Correspondence as a Generalized Holography (2015, background): “A holography for de Sitter spaces, called dS/CFT has been proposed in [3] and it has been suggested that if gravity theories on de Sitter spaces can be dual to CFTs, then they are non-unitary CFTs [55] (see also [56, 57, 58, 59]).”
Low-dimensional de Sitter quantum gravity (2019, neutral): “Similar oddities appear in other dimensions [18].”
Late-time structure of the Bunch-Davies de Sitter wavefunction (2014, background): “This strongly suggests, if we are to take the picture of dS/CFT seriously, that late time log ηc contributions to the wavefunction ΨBD[gij ], such as the one describing pure Einstein theory, are absent to all orders in pertur(12)A concrete realization occurs in the conjectured duality between the th”