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Title: Black hole microstate cosmology

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [1];  [2];  [1];  [1];  [1]
  1. Univ. of British Columbia, Vancouver, BC (Canada)
  2. Univ. of Maryland, College Park, MD (United States)

In this note, we explore the possibility that certain high-energy holographic CFT states correspond to black hole microstates with a geometrical behind-the-horizon region, modelled by a portion of a second asymptotic region terminating at an end-of-the-world (ETW) brane. We study the time-dependent physics of this behind-the-horizon region, whose ETW boundary geometry takes the form of a closed FRW spacetime. We show that in many cases, this behind-the-horizon physics can be probed directly by looking at the time dependence of entanglement entropy for sufficiently large spatial CFT subsystems. We study in particular states defined via Euclidean evolution from conformal boundary states and give specific predictions for the behavior of the entanglement entropy in this case. We perform analogous calculations for the SYK model and find qualitative agreement with our expectations. We also calculate holographic complexity for the d = 2 ETW geometries, finding that complexity-action and complexity-volume proposals give the same linear growth at late times, but differ at early times. A fascinating possibility is that for certain states, we might have gravity localized to the ETW brane as in the Randall-Sundrum II scenario for cosmology. In this case, the effective description of physics beyond the horizon could be a big bang/big crunch cosmology of the same dimensionality as the CFT. In this case, the d-dimensional CFT describing the black hole microstate would give a precise, microscopic description of the d-dimensional cosmological physics.

Research Organization:
Univ. of California, Oakland, CA (United States)
Sponsoring Organization:
Simons Foundation; USDOE Office of Science (SC), High Energy Physics (HEP); Natural Sciences and Engineering Research Council of Canada (NSERC)
Grant/Contract Number:
SC0019380
OSTI ID:
1613202
Journal Information:
Journal of High Energy Physics (Online), Vol. 2019, Issue 7; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 75 works
Citation information provided by
Web of Science

References (110)

Instability of the Kaluza-Klein vacuum journal February 1982
Addendum to computational complexity and black hole horizons: Addendum to computational complexity and black hole horizons journal January 2016
Eternal black holes in anti-de Sitter journal April 2003
Brane new world journal June 2000
Locally Localized Gravity journal February 2001
Single-exterior black holes and the AdS-CFT conjecture journal February 1999
The Black Hole Singularity in AdS/CFT journal February 2004
Quantum quenches in 1  +  1 dimensional conformal field theories journal June 2016
Gravity in warped compactifications and the holographic stress tensor journal August 2001
Randall–Sundrum II cosmology, AdS/CFT, and the bulk black hole journal August 2001
An apologia for firewalls journal September 2013
Holographic renormalization group flows and boundary conformal field theories journal November 2012
AdS/CFT and gravity journal March 2001
Open and closed string interpretation of SUSY CFT's on branes with boundaries journal May 2001
Black hole collapse in the 1/c expansion journal July 2016
Quantum-First Gravity journal February 2019
Effective theories and black hole production in warped compactifications journal July 2001
Lower Bound on the Entropy of Boundaries and Junctions in ( 1 + 1 )-Dimensional Quantum Critical Systems journal October 2012
Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models journal May 2017
An infalling observer in AdS/CFT journal October 2013
Localization of Gravity in Brane World Cosmologies journal May 2003
Complexity and shock wave geometries journal December 2014
Holography and compactification journal July 2000
Holographic Dual of a Boundary Conformal Field Theory journal August 2011
Remarks on the necessity and implications of state-dependence in the black hole interior journal April 2016
AdS/CFT and Randall-Sundrum model without a brane journal May 2001
Linearized gravity in brane backgrounds journal March 2000
The holographic spacetime model of cosmology journal October 2018
Gravitational action for spacetimes with nonsmooth boundaries journal April 1993
Gravity in the Randall-Sundrum Brane World journal March 2000
Universal noninteger ‘‘ground-state degeneracy’’ in critical quantum systems journal July 1991
AdS/CFT duality and the black hole information paradox journal February 2002
Distinguishability of black hole microstates journal September 2017
Holographic evolution of entanglement entropy journal November 2010
Time evolution of entanglement entropy from black hole interiors journal May 2013
The dS/CFT correspondence journal October 2001
Holography for cosmology journal January 2010
Gibbs states of a one dimensional quantum lattice journal June 1969
Locally Localized Gravity conference November 2011
AdS/CFT duals of topological black holes and the entropy of zero-energy states journal June 1999
Boundary Entropy of One-Dimensional Quantum Systems at Low Temperature journal July 2004
Divergences in holographic complexity journal April 2017
Boundary conditions, fusion rules and the Verlinde formula journal October 1989
Action growth for AdS black holes journal September 2016
Bulk Renormalization Group Flows and Boundary States in Conformal Field Theories journal January 2017
Universal spectrum of 2d conformal field theory in the large c limit journal September 2014
Braneworld resonances journal August 2005
Universal aspects of gravity localized on thick branes journal August 2000
Rindler quantum gravity journal November 2012
Brane-World Gravity journal September 2010
Black holes: complementarity or firewalls? journal February 2013
Aspects of the Papadodimas-Raju proposal for the black hole interior journal November 2014
Minimally Entangled Typical Quantum States at Finite Temperature journal May 2009
On massless 4D gravitons from asymptotically space–times journal June 2007
State-dependent bulk-boundary maps and black hole complementarity journal April 2014
Boundary states as holographic duals of trivial spacetimes journal May 2015
On the time dependence of holographic complexity journal November 2017
The fuzzball proposal for black holes journal October 2008
Power-law expansion of the Universe from the bosonic Lorentzian type IIB matrix model journal November 2015
Simple holographic duals to boundary CFTs journal February 2012
Wave function of the Universe journal December 1983
Locally localized gravity journal May 2001
Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence journal May 2006
The dS/dS Correspondence
  • Alishahiha, Mohsen
  • THE NEW COSMOLOGY: Conference on Strings and Cosmology; The Mitchell Symposium on Observational Cosmology, AIP Conference Proceedings https://doi.org/10.1063/1.1848341
conference January 2004
Minimally entangled typical thermal state algorithms journal May 2010
Precise lower bound on Monster brane boundary entropy journal July 2013
Holographic Complexity Equals Bulk Action? journal May 2016
On the interior geometry of a typical black hole microstate journal May 2019
A boundary term for the gravitational action with null boundaries journal June 2016
Statistical Interpretation of the Bekenstein Entropy for Systems with a Stretched Horizon journal May 2002
The fuzzball proposal for black holes: an elementary review journal July 2005
Dynamics of anti-de Sitter domain walls journal December 1999
An Alternative to Compactification journal December 1999
Delocalization of brane gravity by a bulk black hole journal July 2005
Quantum quenches to a critical point in one dimension: some further results journal February 2016
Holographic Entanglement Entropy at Finite Temperature journal June 2009
Holographic duals of boundary CFTs journal July 2012
Aspects of AdS/BCFT journal November 2011
New proposal for a holographic boundary conformal field theory journal August 2017
Toward a holographic theory for general spacetimes journal April 2017
Inflation in AdS/CFT journal March 2006
Gravity in Warped Compactifications and the Holographic Stress Tensor text January 2018
Gravitational action with null boundaries journal October 2016
Minimally entangled typical quantum states at finite temperature text January 2009
Brane-World Gravity text January 2010
Holographic Evolution of Entanglement Entropy text January 2010
Aspects of AdS/BCFT text January 2011
Rindler Quantum Gravity text January 2012
An Infalling Observer in AdS/CFT text January 2012
Universal Spectrum of 2d Conformal Field Theory in the Large c Limit text January 2014
Boundary States as Holographic Duals of Trivial Spacetimes preprint January 2014
A Boundary Term for the Gravitational Action with Null Boundaries text January 2015
Power-law expansion of the Universe from the bosonic Lorentzian type IIB matrix model text January 2015
Bulk Renormalization Group Flows and Boundary States in Conformal Field Theories text January 2017
On the Time Dependence of Holographic Complexity text January 2017
Quantum-first gravity text January 2018
On the interior geometry of a typical black hole microstate text January 2018
Delocalization of brane gravity by a bulk black hole text January 2005
Effective theories and black hole production in warped compactifications text January 2000
AdS/CFT and Randall-Sundrum Model Without a Brane text January 2000
The Black Hole Singularity in AdS/CFT text January 2003
The fuzzball proposal for black holes: an elementary review text January 2005
Inflation in AdS/CFT text January 2005
AdS/CFT Duals of Topological Black Holes and the Entropy of Zero-Energy States text January 1999
An Alternative to Compactification text January 1999
Holography and Compactification text January 1999
Dynamics of Anti-de Sitter Domain Walls text January 1999
AdS/CFT and gravity text January 1999
Holographic duals of Boundary CFTs text January 2012
On massless 4D Gravitons from 5D Asymptotically AdS Space-times text January 2006

Cited By (3)

Complexity in the presence of a boundary journal February 2020
Does boundary distinguish complexities? journal November 2019
Quantum tasks require islands on the brane text January 2021