Exploring de Sitter Space and Holography

Abstract

We explore aspects of the physics of de Sitter (dS) space that are relevant to holography with a positive cosmological constant. First we display a nonlocal map that commutes with the de Sitter isometries, transforms the bulk-boundary propagator and solutions of free wave equations in de Sitter onto the same quantities in Euclidean anti-de Sitter (EAdS), and takes the two boundaries of dS to the single EAdS boundary via an antipodal identification. Second we compute the action of scalar fields on dS as a functional of boundary data. Third, we display a family of solutions to 3d gravity with a positive cosmological constant in which the equal time sections are arbitrary genus Riemann surfaces, and compute the action of these spaces as a functional of boundary data from the Einstein gravity and Chern-Simons gravity points of view. These studies suggest that if de Sitter space is dual to a Euclidean conformal field theory (CFT), this theory should involve two disjoint, but possibly entangled factors. We argue that these CFTs would be of a novel form, with unusual hermiticity conditions relating left movers and right movers. After exploring these conditions in a toy model, we combine our observations to propose that a holographic dual description of de Sitter space would involve a pure entangled state in a product of two of our unconventional CFTs associated with the de Sitter boundaries. This state can be constructed to preserve the de Sitter symmetries and and its decomposition in a basis appropriate to antipodal inertial observers would lead to the thermal properties of static patch.

LaTeX, v2: references added

Cited by in corpus (52)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Lecture Notes on Holographic Renormalization
• The dS/dS Correspondence
• Interacting Quantum Field Theory in de Sitter Vacua
• Elliptic de Sitter Space: dS/Z_2
• Cold Dark Matter with MOND Scaling
• A de Sitter Farey Tail
• Reissner-Nordstrom-de Sitter black hole, planar coordinates and dS/CFT
• Accelerating Universes and String Theory
• Alpha-states in de Sitter space
• Holographic de Sitter Geometry from Entanglement in Conformal Field Theory
• Sailing from Warped AdS_3 to Warped dS_3 in Topologically Massive Gravity
• De Sitter and Schwarzschild-De Sitter According to Schwarzschild and De Sitter
• Cosmography of KNdS Black Holes and Isentropic Phase Transitions
• Finite quantum gravity in dS and AdS spacetimes
• On the Hagedorn Behaviour of PP-wave Strings and N=4 SYM Theory at Finite R-Charge Density
• Aspects of Quantum Gravity in de Sitter Spaces
• Dark Matter, Infinite Statistics and Quantum Gravity
• Time Evolution via S-branes
• A new wormhole solution in de Sitter space
• Tall tales from de Sitter space II: Field theory dualities
• Pre-Inflationary Spacetime in String Cosmology
• On de Sitter future-past extremal surfaces and the "entanglement wedge"
• On $d{S}_4$ extremal surfaces and entanglement entropy in some ghost CFTs
• q-Deformed de Sitter/Conformal Field Theory Correspondence
• Euclidean and Hamiltonian thermodynamics for regular black holes
• Twisting S-branes
• Orbifold Physics and de Sitter Spacetime
• An invitation to the principal series
• Boundary Terms Unbound! Holographic Renormalization of Asymptotically Linear Dilaton Gravity
• Stable de Sitter vacua in N=2, D=5 supergravity
• dS/CFT and the operator product expansion
• A prototype for dS/CFT
• Implications of Conformal Symmetry in Quantum Mechanics
• Massive Gravitino Propagator in Maximally Symmetric Spaces and Fermions in dS/CFT
• Toward Higher Spin dS3/CFT2
• On non-equilibrium physics and string theory
• Weyl Card Diagrams
• Weyl Card Diagrams and New S-brane Solutions of Gravity
• Holography in de Sitter and anti-de Sitter Spaces and Gel'fand Graev Radon transform
• Static sphere observers and geodesics in Schwarzschild-de Sitter spacetime
• de Sitter duality and logarithmic decay of dark energy
• Deconstruction and Holography
• Biorthogonal Quantum Mechanics: Super-Quantum Correlations and Expectation Values without Definite Probabilities
• Deconstructing the Cosmological Constant
• Unitarity at Infinity and Topological Holography
• Holographic Central Charge for 2-Dimensional de Sitter Space
• N-level ghost-spins and entanglement
• Braneworld Gravity in Symmetric Space Bulk
• Comments on Quantum Aspects of Three-Dimensional de Sitter Gravity
• Non-Hermitian Gravitational Wave Scattering
• Transition Amplitudes in de Sitter Space