Vacuum States and the S-Matrix in dS/CFT

Abstract

We propose a definition of dS/CFT correlation functions by equating them to S-matrix elements for scattering particles from I^- to I^+. In planar coordinates, which cover half of de Sitter space, we consider instead the S-vector obtained by specifying a fixed state on the horizon. We construct the one-parameter family of de Sitter invariant vacuum states for a massive scalar field in these coordinates, and show that the vacuum obtained by analytic continuation from the sphere has no particles on the past horizon. We use this formalism to provide evidence that the one-parameter family of vacua corresponds to marginal deformations of the CFT by computing a three-point function.

25 pages, 1 figure (references and some clarifying footnotes added)

References in corpus (33)

• The dS/CFT Correspondence
• Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
• Quantum Gravity In De Sitter Space
• Mass, Entropy and Holography in Asymptotically de Sitter Spaces
• Conformal Vacua and Entropy in de Sitter Space
• Inflation and the dS/CFT Correspondence
• The dS/CFT Correspondence and the Big Smash
• String Theory and Quintessence
• The Acceleration of the Universe, a Challenge for String Theory
• Deconstructing de Sitter
• Cardy-Verlinde Formula and Asymptotically de Sitter Spaces
• Some Aspects of the de Sitter/CFT Correspondence
• De Sitter Space in Supergravity and M Theory
• Action, Mass and Entropy of Schwarzschild-de Sitter black holes and the de Sitter/CFT Correspondence
• Gauged Supergravities, de Sitter Space and Cosmology
• Check of the Mass Bound Conjecture in the de Sitter Space
• Quantum cosmology, inflationary brane-world creation and dS/CFT correspondence
• De Sitter Space from Warped Supergravity Solutions
• N=2 Supersymmetry and de Sitter space
• The Asymptotic Dynamics of de Sitter Gravity in three Dimensions
• Matrix Model for De Sitter
• De Sitter space versus Nariai Black Hole: stability in d5 higher derivative gravity
• Energy and the AdS/CFT Correspondence
• Quantization of the massless minimally coupled scalar field and the dS/CFT correspondence
• Holographic Entropy on the Brane in de Sitter Schwarzschild Space
• Horizon Holography
• Domain Wall and de Sitter Solutions of Gauged Supergravity
• The asymptotic symmetry of de Sitter spacetime
• De Sitter Entropy and Strings
• Three Dimensional de Sitter Gravity and the Correspondence
• Dynamic dS/CFT correspondence using the brane cosmology
• Wilson loop and dS/CFT correspondence
• The Cardy-Verlinde Formula and Asymptotically de Sitter Brane Universe

Cited by in corpus (70)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• The holographic principle
• Lecture Notes on Holographic Renormalization
• Radiation via Tunneling from a de Sitter Cosmological Horizon
• Disturbing Implications of a Cosmological Constant
• A holographic reduction of Minkowski space-time
• Transplanckian energy production and slow roll inflation
• Interacting Quantum Field Theory in de Sitter Vacua
• From AdS to dS Exchanges: Spectral Representation, Mellin Amplitudes and Crossing
• Inflation, holography, and the choice of vacuum in de Sitter space
• From dS to AdS and back
• A Space-Time Orbifold: A Toy Model for a Cosmological Singularity
• Elliptic de Sitter Space: dS/Z_2
• On the consistency of de Sitter vacua
• Exploring de Sitter Space and Holography
• Squeezed States in the de Sitter Vacuum
• Tall tales from de Sitter space I: Renormalization group flows
• Perturbative S-matrix for massive scalar fields in global de Sitter space
• Can MAP and Planck map Planck physics?
• Inflation and de Sitter Holography
• Unbounded entropy in spacetimes with positive cosmological constant
• (Anti-) de Sitter Black Holes in higher derivative gravity and dual Conformal Field Theories
• De Sitter Space and Entanglement
• Accelerating Universes and String Theory
• Lectures on string theory and cosmology
• Scalar field instability in de Sitter space-time
• Inflationary Perturbations from Deformed CFT
• Thermodynamics of d-dimensional charged rotating black brane and AdS/CFT correspondence
• A new twist on dS/CFT
• Adventures in de Sitter space
• Holography, Diffeomorphisms, and Scaling Violations in the CMB
• dS-Holographic C-Functions with a Topological, Dilatonic Twist
• de Sitter entropy from conformal field theory
• Tall tales from de Sitter space II: Field theory dualities
• Semiclassical strings in AdS_5 x S^5 and scalar operators in N=4 SYM theory
• Aspects of the zero $\Lambda$ limit in the AdS/CFT correspondence
• q-Deformed de Sitter/Conformal Field Theory Correspondence
• Strings and the Holographic Description of Asymptotically de Sitter Spaces
• Twenty Years of Debate with Stephen
• Discrete Symmetries for Spinor Field in de Sitter Space
• Eternity and the cosmological constant
• Absorption cross section in de Sitter space
• Thermality in de Sitter and Holography
• De Sitter-invariant States from Holography
• Wavefunctions in dS/CFT revisited: principal series and double-trace deformations
• Local description of S-matrix in quantum field theory in curved spacetime using Riemann-normal coordinate
• Massive Gravitino Propagator in Maximally Symmetric Spaces and Fermions in dS/CFT
• Tachyons in de Sitter space and analytical continuation from dS/CFT to AdS/CFT
• Probing de Sitter Space Using CFT States
• Dynamics of Massive Scalar Fields in dS Space and the dS/CFT Correspondence
• Dynamical Behavior of dilaton in de Sitter space
• Holographic Central Charge for 2-Dimensional de Sitter Space
• Statistical Mechanics of Three-dimensional Kerr-de Sitter Space
• Modification to the power spectrum in the brane world inflation driven by the bulk inflaton
• Remark About dS/CFT Correspondence
• Quantum Fisher information of a cosmic qubit undergoing non-Markovian de Sitter evolution
• Matrix Model For Polyakov Loops, String Field Theory In The Temporal Gauge, Winding String Condensation In Anti-de Sitter Space And Field Theory Of D-branes
• Perturbative unitarity bounds on field-space curvature in de Sitter spacetime: purity vs scattering amplitude
• de Sitter symmetries and inflationary scalar-vector models
• Mapping AdS to dS spaces and back
• Towards a CPT Invariant Quantum Field Theory on Elliptic de Sitter Space
• Dwelling on de Sitter
• Spinor two-point functions and Peierls bracket in de Sitter space
• Gravitational collapse disturbs the dS/CFT correspondence?
• Massive Bosons and the dS/CFT correspondence
• Dilatonic tachyon in Kerr-de Sitter space
• String theory: an update
• Temperature effect on the power spectrum in inflation
• Discrete symmetries determining scalar quantum modes on the de Sitter spacetime
• Transition Amplitudes in de Sitter Space