Les Houches Lectures on De Sitter Space

Abstract

These lectures present an elementary discussion of some background material relevant to the problem of de Sitter quantum gravity. The first two lectures discuss the classical geometry of de Sitter space and properties of quantum field theory on de Sitter space, especially the temperature and entropy of de Sitter space. The final lecture contains a pedagogical discussion of the appearance of the conformal group as an asymptotic symmetry group, which is central to the dS/CFT correspondence. A (previously lacking) derivation of asymptotically de Sitter boundary conditions is also given.

Latex, 29 pages, 8 figures

References in corpus (30)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• A Stress Tensor for Anti-de Sitter Gravity
• The Holographic Weyl anomaly
• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• The High-Z Supernova Search: Measuring Cosmic Deceleration and Global Cur vature of the Universe Using Type Ia Supernovae
• The dS/CFT Correspondence
• Quantum Gravity In De Sitter Space
• Holography in General Space-times
• Weyl Cohomology and the Effective Action for Conformal Anomalies
• DeSitter entropy, quantum entanglement and ADS/CFT
• Null Propagation of Partially Massless Higher Spins in (A)dS and Cosmological Constant Speculations
• Deconstructing de Sitter
• Statistical Entropy of Three-dimensional Kerr-De Sitter Space
• Bekenstein bounds in de Sitter and flat space
• De Sitter Space in Supergravity and M Theory
• Conformal anomaly from dS/CFT correspondence
• Statistical Entropy of De Sitter Space
• Near-Horizon Virasoro Symmetry and the Entropy of de Sitter Space in Any Dimension
• Worldvolume Theories, Holography, Duality and Time
• Quantum three-dimensional de Sitter space
• N=2 Supersymmetry and de Sitter space
• Matrix Model for De Sitter
• Entropy of 2+1 dimensional de Sitter space in terms of brick wall method
• Quantization of the massless minimally coupled scalar field and the dS/CFT correspondence
• Horizon Holography
• De Sitter Entropy and Strings
• The asymptotic symmetry of de Sitter spacetime
• Zero-Branes, Quantum Mechanics and the Cosmological Constant
• Discreteness in deSitter Space and Quantization of Kahler Manifolds
• Comment on "Nongaussian Isocurvature Perturbations from Inflation"

Cited by in corpus (131)

• Lecture Notes on Holographic Renormalization
• Conformal Vacua and Entropy in de Sitter Space
• Multi-Trace Operators, Boundary Conditions, And AdS/CFT Correspondence
• Radiation via Tunneling from a de Sitter Cosmological Horizon
• Supersymmetric Gauge Theories and the AdS/CFT Correspondence
• New Coordinates for de Sitter Space and de Sitter Radiation
• The dS/CFT Correspondence and the Big Smash
• Super-Hubble de Sitter Fluctuations and the Dynamical RG
• Temperature and entropy of Schwarzschild-de Sitter space-time
• Holographic Protection of Chronology in Universes of the Godel Type
• Quantum gravity with a positive cosmological constant
• S-Brane Thermodynamics
• Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions
• Infrared Correlations in de Sitter Space: Field Theoretic vs. Stochastic Approach
• Elliptic de Sitter Space: dS/Z_2
• Braneworld Cosmology in (Anti)--de Sitter Einstein--Gauss--Bonnet--Maxwell Gravity
• Gauged Supergravities, de Sitter Space and Cosmology
• Festina Lente: EFT Constraints from Charged Black Hole Evaporation in de Sitter
• Feynman Diagrams for Stochastic Inflation and Quantum Field Theory in de Sitter Space
• On the Decoherence of Primordial Fluctuations During Inflation
• Self-Gravitational Corrections to the Cardy-Verlinde Formula of Achucarro-Ortiz Black Hole
• Holographic models of de Sitter QFTs
• Cosmological Spacetimes from Negative Tension Brane Backgrounds
• Entropy of the three dimensional Schwarzschild-de Sitter black hole
• Entanglement entropy of $\alpha$-vacua in de Sitter space
• Inflationary Infrared Divergences: Geometry of the Reheating Surface vs. delta N Formalism
• Closed String Tachyon Condensation and Worldsheet Inflation
• Generalised uncertainty relations from superpositions of geometries
• Accelerating Universes and String Theory
• Holographic Complexity and de Sitter Space
• Sailing from Warped AdS_3 to Warped dS_3 in Topologically Massive Gravity
• de Sitter thermodynamics and the braneworld
• The Asymptotic Dynamics of de Sitter Gravity in three Dimensions
• On extremal surfaces and de Sitter entropy
• de Sitter Supersymmetry Revisited
• Unruh response functions for scalar fields in de Sitter space
• IIA String Theory on Calabi-Yau Fourfolds with Background Fluxes
• Adventures in de Sitter space
• TASI lectures on complex structures
• Stretched horizons, quasiparticles and quasinormal modes
• Real time response on dS_3: the Topological AdS Black Hole and the Bubble
• Miracles and complementarity in de Sitter space
• Cosmological consequences of a principle of finite amplitudes
• Conserved Charges and First Law of Thermodynamics for Kerr-de Sitter Black Holes
• dS-Holographic C-Functions with a Topological, Dilatonic Twist
• Relaxion: A Landscape Without Anthropics
• Temperature at Horizon in de Sitter Spacetime
• Tall tales from de Sitter space II: Field theory dualities
• Geometries with mismatched branes
• Quantum Field Theory in de Sitter Universe: Ambient Space Formalism
• On de Sitter future-past extremal surfaces and the "entanglement wedge"
• Quantum Gravity on $d{S}_3$
• Strings and the Holographic Description of Asymptotically de Sitter Spaces
• The Stokes Phenomenon and Quantum Tunneling for de Sitter Radiation in Nonstationary Coordinates
• Introduction to Quantum Fields in Curved Spacetime and the Hawking Effect
• The Cosmological Constant Problem, an Inspiration for New Physics
• On the Boundary Dynamics of Chern-Simons Gravity
• Two-dimensional gravity with a dynamical aether
• Master equation for the Unruh-DeWitt detector and the universal relaxation time in de Sitter space
• Warped AdS_3 Black Holes in Higher Derivative Gravity Theories
• Thermal Interpretation of Infrared Dynamics in de Sitter
• Large-order Perturbation Theory and de Sitter/Anti de Sitter Effective Actions
• Chern-Simons-Ghost Theories and de Sitter Space
• Black Holes in de Sitter Space: Masses, Energies and Entropy Bounds
• Dynamic dS/CFT correspondence using the brane cosmology
• Testing Holographic Principle from Logarithmic and Higher Order Corrections to Black Hole Entropy
• Higher Spin Cosmology
• Isolated horizons in higher-dimensional Einstein-Gauss-Bonnet gravity
• A Comment or two on Holographic Dark Energy
• Twin Paradox in de Sitter Spacetime
• Entanglement entropy of $\mathcal{N}=2^{\ast }$ de Sitter vacuum
• Baby de Sitter Black Holes and dS${}_3$/CFT${}_2$
• Stringy Instability of Topologically Non-Trivial Ads Black Holes and of desitter S-Brane Spacetimes
• Two-dimensional black holes in the limiting curvature theory of gravity
• Higher Spin de Sitter Hilbert Space
• On cosmic hair and "de Sitter breaking" in linearized quantum gravity
• Coupling a Point-Like Mass to Quantum Gravity with Causal Dynamical Triangulations
• Entropy of Quantum Fields in de Sitter Space-time
• De Sitter vacua from N=2 gauged supergravity
• A preferred ground state for the scalar field in de Sitter space
• Degravitation, Inflation and the Cosmological Constant as an Afterglow
• Correspondence between Thermal and Quantum Vacuum Transitions around Horizons
• Acceleration-Induced Deconfinement Transitions in de Sitter Spacetime
• De Sitter Quantum Breaking, Swampland Conjectures and Thermal Strings
• Moving Detectors in Cavities
• Quasi-normal Modes in de Sitter Space: Plane Wave Method
• Emergent Gravity in a Holographic Universe
• Stress energy correlator in de Sitter space-time : its conformal masking or growth in connected Friedmann universes
• A Brief Comment on Instanton-like Singularities and Cosmological Horizons
• Stochastic Quantization of Scalar Fields in de Sitter Spacetime
• ${\varphi }^4$-Model and Holography in Four Dimensions
• On memory in exponentially expanding spaces
• Rudiments of Holography
• Non-linear Laplace equation, de Sitter vacua and information geometry
• On Poisson geometries related to noncommutative emergent gravity
• CFT on the Brane with a Reissner-Nordstrom-de Sitter Twist
• The issue of Dark Energy in String Theory
• Vacuum Ambiguity in de Sitter Space at Strong Coupling
• Holographic entanglement entropy for massive flavours in dS_4
• de Sitter Black Holes, Schottky Peaks, and Continuous Heat Engines
• Quantum Cosmology in Four Dimensions
• Higgs instability and de Sitter radiation
• Spherical waves of spin 1 particle in anti de Sitter space-time
• On exact solutions for quantum particles with spin S= 0, 1/2, 1 and de Sitter event horizon
• dS/CFT Correspondence from a Holographic Description of Massless Scalar Fields in Minkowski Space-Time
• Lectures on Naturalness, String Landscape and Multiverse
• Asymptotic Symmetries of Rindler Space at the Horizon and Null Infinity
• Plane Wave Type II${}^{\ast }$ String Backgrounds
• One conjecture and two observations on de Sitter space
• De Sitter quantum scalar field and horizon holography
• Possible origin of CMB temperature fluctuations: Vacuum fluctuations of Kaluza-Klein and string states during inflationary era
• A Line Source in Minkowski for the de Sitter Spacetime Scalar Green's Function: Massive Case
• TeV-scale gravity in Horava-Witten theory on a compact complex hyperbolic threefold
• Tachyon field theory description of (thermo)dynamics in dS space
• Cosmological Geometric Phase From Pure Quantum States: A study without/with having Bell's inequality violation
• de Sitter Radiation and Backreaction in Quantum Cosmology
• Asymptotically Flat Holography and Strings on the Horizon
• Towards a CPT Invariant Quantum Field Theory on Elliptic de Sitter Space
• Nearly Degenerate dS Horizons from a 2-D Perspective
• Comments on Quantum Aspects of Three-Dimensional de Sitter Gravity
• Aspects of Quantum Fields on Causal Sets
• On thermal radiation of de Sitter space in the semiclassical Jackiw-Teitelboim model
• Minimum length uncertainty relations in the presence of dark energy
• de Sitter space, (D)pp-Waves and a star-Matrix model
• Anisotropic SD2 brane: accelerating cosmology and Kasner-like space-time from compactification
• Infrared Divergences in dS/CFT
• The quantum de Sitter root of quasi de Sitter observables: a pedagogical review
• Cosmological Solutions, a New Wick-Rotation, and the First Law of Thermodynamics
• Probing Alpha-Vacua of Black Holes in LHC
• Radiation effects on particle's trajectory in the linear level
• Time-dependent Backgrounds in String Theory and Dualities