Towards a Big Crunch Dual

Abstract

We show there exist smooth asymptotically anti-de Sitter initial data which evolve to a big crunch singularity in a low energy supergravity limit of string theory. This opens up the possibility of using the dual conformal field theory to obtain a fully quantum description of the cosmological singularity. A preliminary study of this dual theory suggests that the big crunch is an endpoint of evolution even in the full string theory. We also show that any theory with scalar solitons must have negative energy solutions. The results presented here clarify our earlier work on cosmic censorship violation in N=8 supergravity.

27 pages, 3 figures;v2:minor corrections

References in corpus (11)

• The Pre-Big Bang Scenario in String Cosmology
• Cosmic Evolution in a Cyclic Universe
• From Big Crunch to Big Bang
• The Black Hole Singularity in AdS/CFT
• A universal result on central charges in the presence of double-trace deformations
• Black Holes with Scalar Hair and Asymptotics in N=8 Supergravity
• Double-trace operators and one-loop vacuum energy in AdS/CFT
• Generic Cosmic Censorship Violation in anti de Sitter Space
• Rotational Perturbations of Friedmann-Robertson-Walker Type Brane-World Cosmological Models
• Negative Energy in String Theory and Cosmic Censorship Violation
• Numerical Study of Cosmic Censorship in String Theory

Cited by in corpus (129)

• Building an AdS/CFT superconductor
• Holographic and Wilsonian Renormalization Groups
• Holographic Superconductors with Various Condensates
• String Cosmology: A Review
• A Critical Review of Classical Bouncing Cosmologies
• Lorentzian Quantum Cosmology
• Multi-Trace Deformations in AdS/CFT: Exploring the Vacuum Structure of the Deformed CFT
• Comparison between various notions of conserved charges in asymptotically AdS-spacetimes
• Entanglement entropy in de Sitter space
• Holographic Superconductors with various condensates in Einstein-Gauss-Bonnet gravity
• Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
• Islands in cosmology
• A Matrix Big Bang
• Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields
• Holographic Description of AdS Cosmologies
• Excursions beyond the horizon: Black hole singularities in Yang-Mills theories (I)
• Phase transitions between Reissner-Nordstrom and dilatonic black holes in 4D AdS spacetime
• A Holographic Framework for Eternal Inflation
• Probe Branes, Time-dependent Couplings and Thermalization in AdS/CFT
• Asymptotically anti-de Sitter spacetimes in topologically massive gravity
• Quantum Quench across a Holographic Critical Point
• Holographic No-Boundary Measure
• The Tachyon at the End of the Universe
• An Exact Solution of 4D Higher-Spin Gauge Theory
• Towards a Novel no-hair Theorem for Black Holes
• The Inside Story: Quasilocal Tachyons and Black Holes
• Extremal Surface Barriers
• On the Quantum Resolution of Cosmological Singularities using AdS/CFT
• States and Boundary Terms: Subtleties of Lorentzian AdS/CFT
• Holographic models of de Sitter QFTs
• Populating the Landscape: A Top Down Approach
• Conformally Coupled Scalars, Instantons and Vacuum Instability in AdS_4
• Comments on wormholes, ensembles, and cosmology
• Holographic Multiverse
• Time-dependent AdS/CFT Duality and Null Singularity
• Energy Bounds in Designer Gravity
• Effective Dynamics of the Matrix Big Bang
• Stability and Thermodynamics of AdS Black Holes with Scalar Hair
• Challenges for String Cosmology
• Cosmologies with Null Singularities and their Gauge Theory Duals
• AdS Crunches, CFT Falls And Cosmological Complementarity
• Holography of AdS vacuum bubbles
• Chern-Simons black holes: scalar perturbations, mass and area spectrum and greybody factors
• Holography of charged dilatonic black branes at finite temperature
• Interacting String Multi-verses and Holographic Instabilities of Massive Gravity
• Holographic Signatures of Cosmological Singularities
• Trace Anomaly and Counterterms in Designer Gravity
• Gauge Theories with Time Dependent Couplings and their Cosmological Duals
• Stability in Designer Gravity
• Gauge Theory Duals of Cosmological Backgrounds and their Energy Momentum Tensors
• Multitrace Deformations of Vector and Adjoint Theories and their Holographic Duals
• Gravitational quasinormal modes of AdS black branes in d spacetime dimensions
• Holographic Quantum Quench
• A soliton menagerie in AdS
• Competition/Enhancement of Two Probe Order Parameters in the Unbalanced Holographic Superconductor
• Holographic Consequences of a No Transmission Principle
• Insightful D-branes
• Patch dualities and remarks on nonstandard cosmologies
• Quantum evolution of black hole initial data sets: Foundations
• A tale of two superpotentials: Stability and Instability in Designer Gravity
• de Sitter Cosmology on an expanding bubble
• Non-Supersymmetric Membrane Flows from Fake Supergravity and Multi-Trace Deformations
• Time-dependent AdS/CFT Duality II: Holographic Reconstruction of Bulk Metric and Possible Resolution of Singularity
• A Matrix Model for the Null-Brane
• A Short Review of Time Dependent Solutions and Space-like Singularities in String Theory
• General Bounds on Holographic Complexity
• Conformal solids and holography
• Toward the End of Time
• On periodically driven AdS/CFT
• FRW and domain walls in higher spin gravity
• Is It Really Naked? On Cosmic Censorship in String Theory
• A multitrace deformation of ABJM theory
• Towards A Nonsingular Tachyonic Big Crunch
• More on Asymptotically Anti-de Sitter Spaces in Topologically Massive Gravity
• String spectra near some null cosmological singularities
• Quantum evolution across singularities: the case of geometrical resolutions
• On big crunch solutions in Prokushkin-Vasiliev theory
• Flow of Geometries and Instantons on the Null Orbifold
• Inflation, Large Branes, and the Shape of Space
• Spinning scalar solitons in anti-de Sitter spacetime
• Condensate flow in holographic models in the presence of dark matter
• Stripe Instabilities of Geometries with Hyperscaling Violation
• Greybody factors for topological massless black holes
• Dimensional Duality
• The final fate of instability of Reissner-Nordström-anti-de Sitter black holes by charged complex scalar fields
• AdS/dS CFT Correspondence
• Revisiting Coleman-de Luccia transitions in the AdS regime using holography
• Arrows of Time in the Bouncing Universes of the No-boundary Quantum State
• The Penrose Inequality as a Constraint on the Low Energy Limit of Quantum Gravity
• Answering a Basic Objection to Bang/Crunch Holography
• Path Integral Complexity and Kasner singularities
• Supersymmetry Breaking and the Cosmological Constant
• Bottom-up holographic models for cosmology
• Analytic Coleman-De Luccia Geometries
• Conformal Complementarity Maps
• Null cosmological singularities and free strings: II
• Probing crunching AdS cosmologies
• Non-supersymmetric Conifold
• Holographic Renormalization of Einstein-Maxwell-Dilaton Theories
• On rolling, tunneling and decaying in some large N vector models
• Stability in Einstein-Scalar Gravity with a Logarithmic Branch
• AdS solitons with conformal scalar hair
• D-Brane Potentials from Multi-Trace Deformations in AdS/CFT
• Violation of Energy Bounds in Designer Gravity
• Time-dependent stabilization in AdS/CFT
• On holography for (pseudo-)conformal cosmology
• The string wave function across a Kasner singularity
• Some comments on embedding inflation in the AdS/CFT correspondence
• Null cosmological singularities and free strings
• Holography for a Non-Inflationary Early Universe
• Conformal Universe as false vacuum decay
• Non-vacuum AdS cosmology and comments on gauge theory correlator
• Universal slow fall-off to the unique AdS infinity in Einstein-Gauss-Bonnet gravity
• Negative Complexity of Formation: the Compact Dimensions Strike Back
• Particle Production near an AdS Crunch
• Instantons in AdS${}_4$ From (anti)Membranes Wrapping $S^7$ To Bose-Fermi Duality in CFT${}_3$'s
• Holographic signatures of resolved cosmological singularities
• Holographic Signatures of Resolved Cosmological Singularities II: Numerical Investigations
• Instability of a magnetized QGP sourced by a scalar operator
• Holographic Dual of de Sitter Universe with AdS Bubbles
• Deformed Bubbles and Lorentz Invariance in Vacuum Decay
• Quasinormal modes and holographic correlators in a crunching AdS geometry
• Strongly Coupled Sectors in Inflation: Gapless Theories and Unparticles
• Stability in Holographic Theories with Irrelevant Deformations
• Comment on Coleman-DeLuccia Instantons
• Nonequilibrium dynamics of the O(N) model on dS_3 and AdS crunches
• Einstein-scalar field solutions in AdS spacetime: clouds, boundary conditions, and scalar multipoles
• Cosmology as a CFT${}_1$
• Quantization of Yang-Mills Theory in de Sitter Spacetime