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These lecture notes provide an overview of different aspects of de Sitter space and their plausible holographic interpretations.
C. Arias, F. Diaz and P. Sundell, De Sitter Space and Entanglement , Class. Quant. Grav. 37
1901
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P. Saad, S. H. Shenker and D. Stanford, JT gravity as a matrix integral , 1903.11115
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J. Cotler, K. Jensen and A. Maloney, Low-dimensional de Sitter quantum gravity , JHEP 06
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1907
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1908
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G. Sengör and C. Skordis, Unitarity at the Late time Boundary of de Sitter , JHEP 06
1912
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1947
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1952
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1969
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1971
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J. W. York, Role of conformal three-geometry in the dynamics of gravitation , Phys. Rev. Lett. 28
1972
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Clarendon Press, Oxford, 1972
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S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space-Time , Cambridge Monographs on Mathematical Physics. Cambridge University Press, 1973, 10.1017/CBO9780511524646
1973
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W. Israel, Thermo field dynamics of black holes , Phys. Lett. A 57
1976
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G. W. Gibbons and S. W. Hawking, Cosmological Event Horizons, Thermodynamics, and Particle Creation , Phys. Rev. D 15
1977
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G. W. Gibbons and S. W. Hawking, Action Integrals and Partition Functions in Quantum Gravity , Phys. Rev. D 15
1977
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G. Gibbons, S. Hawking and M. Perry, Path integrals and the indefiniteness of the gravitational action , Nuclear Physics B 138
1978
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T. S. Bunch and P. C. W. Davies, Quantum Field Theory in de Sitter Space: Renormalization by Point Splitting , Proc. Roy. Soc. Lond. A 360
1978
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J. D. Bekenstein and L. Parker, Path-integral evaluation of feynman propagator in curved spacetime , Phys. Rev. D 23
1981
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R. M. Wald, Asymptotic behavior of homogeneous cosmological models in the presence of a positive cosmological constant , Phys. Rev. D 28
1983
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P. Ginsparg and M. J. Perry, Semiclassical perdurance of de sitter space , Nuclear Physics B 222
1983
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J. B. Hartle and S. W. Hawking, Wave Function of the Universe , Phys. Rev. D 28
1983
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R. M. Wald, General Relativity, Ch. 9.4 . Chicago Univ. Pr., Chicago, USA, 1984, 10.7208/chicago/9780226870373.001.0001
1984
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T. Dray and G. ’t Hooft, The gravitational shock wave of a massless particle , Nuclear Physics B 253
1985
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B. Allen and T. Jacobson, Vector two-point functions in maximally symmetric spaces , Communications in Mathematical Physics 103
1986
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J. Polchinski, A Two-Dimensional Model for Quantum Gravity , Nucl. Phys. B 324
1989
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G. Hayward, Euclidean action and the thermodynamics of manifolds without boundary , Phys. Rev. D 41
1990
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G. ’t Hooft, Dimensional reduction in quantum gravity , Conf. Proc. C 930308
1993
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M. Hotta and M. Tanaka, Shock wave geometry with nonvanishing cosmological constant , Class. Quant. Grav. 10
1993
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M. Hotta and M. Tanaka, Gravitational shock waves and quantum fields in the de Sitter space , Phys. Rev. D 47
1993
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L. Susskind, The World as a hologram , J. Math. Phys. 36
1995
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K. Sfetsos, On gravitational shock waves in curved space-times , Nucl. Phys. B 436
1995
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A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy , Phys. Lett. B 379
1996
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J. M. Maldacena, The Large N limit of superconformal field theories and supergravity , Adv. Theor. Math. Phys. 2
1998
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Supernova Search Team
1998
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Supernova Cosmology Project
1999
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M. Cavaglia, Geometrodynamical formulation of two-dimensional dilaton gravity , Phys. Rev. D 59
1999
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S. Gao and R. M. Wald, Theorems on gravitational time delay and related issues , Class. Quant. Grav. 17
2000
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R. Bousso, Positive vacuum energy and the N bound , JHEP 11
2000
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J. de Boer, E. P. Verlinde and H. L. Verlinde, On the holographic renormalization group , JHEP 08
2000
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M. Spradlin, A. Strominger and A. Volovich, Les Houches lectures on de Sitter space , in Les Houches Summer School: Session 76: Euro Summer School on Unity of Fundamental Physics: Gravity, Gauge Theory and Strings , pp. 423–453, 10, 2001, hep-th/0110007
2001
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B. B. Wang and C. G. Huang, Thermodynamics of de Sitter space-time in York’s formalism , Mod. Phys. Lett. A 16
2001
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E. Witten, Quantum gravity in de Sitter space , in Strings 2001: International Conference , 6, 2001, hep-th/0106109
2001
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A. Strominger, The dS / CFT correspondence , JHEP 10
2001
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R. Bousso, Bekenstein bounds in de Sitter and flat space , JHEP 04
2001
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T. Banks, Cosmological breaking of supersymmetry? , Int. J. Mod. Phys. A 16
2001
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R. Bousso, Adventures in de Sitter space , in Workshop on Conference on the Future of Theoretical Physics and Cosmology in Honor of Steven Hawking’s 60th Birthday , pp. 539–569, 5, 2002, hep-th/0205177
2002
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F. Leblond, D. Marolf and R. C. Myers, Tall tales from de Sitter space 1: Renormalization group flows , JHEP 06
2002
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V. Balasubramanian, J. de Boer and D. Minic, Mass, entropy and holography in asymptotically de Sitter spaces , Phys. Rev. D 65
2002
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E. Abdalla, K. H. C. Castello-Branco and A. Lima-Santos, Support of dS / CFT correspondence from space-time perturbations , Phys. Rev. D 66
2002
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L. Aalsma and G. Shiu, Chaos and complementarity in de Sitter space , JHEP 05
2002
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2002
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K. Skenderis, Lecture notes on holographic renormalization , Class. Quant. Grav. 19
2002
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J. M. Maldacena, Eternal black holes in anti-de Sitter , JHEP 04
2003
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J. M. Maldacena, Non-Gaussian features of primordial fluctuations in single field inflationary models , JHEP 05
2003
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L. Fidkowski, V. Hubeny, M. Kleban and S. Shenker, The Black hole singularity in AdS / CFT , JHEP 02
2004
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M. Alishahiha, A. Karch, E. Silverstein and D. Tong, The dS/dS correspondence , AIP Conf. Proc. 743
2004
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S. Cole, W. J. Percival, J. A. Peacock, P. Norberg, C. M. Baugh, C. S. Frenk et al., The 2dF Galaxy Redshift Survey: power-spectrum analysis of the final data set and cosmological implications , Monthly Notices of the Royal Astronomical Society 362
2005
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M. K. Parikh and E. P. Verlinde, De Sitter holography with a finite number of states , JHEP 01
2005
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2018
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S. M. Carroll, Spacetime and Geometry: An Introduction to General Relativity . Cambridge University Press, 2019, 10.1017/9781108770385
2019
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2019
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2019
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D. Anninos, D. A. Galante and D. M. Hofman, De Sitter Horizons & Holographic Liquids , JHEP 07
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H. Geng, Non-local entanglement and fast scrambling in de-Sitter holography , Annals Phys. 426
2005
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G. Festuccia and H. Liu, Excursions beyond the horizon: Black hole singularities in Yang-Mills theories. I. , JHEP 04
2006
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T. Banks, B. Fiol and A. Morisse, Towards a quantum theory of de Sitter space , JHEP 12
2006
Cited alongside, same era.
A. Lopez-Ortega, Quasinormal modes of D-dimensional de Sitter spacetime , Gen. Rel. Grav. 38
2006
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B. Freivogel, V. E. Hubeny, A. Maloney, R. C. Myers, M. Rangamani and S. Shenker, Inflation in AdS/CFT , JHEP 03
2006
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E. Witten, Deformations of JT Gravity and Phase Transitions , 2006.03494
2006
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2006
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2019
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2019
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V. Gorbenko, E. Silverstein and G. Torroba, dS/dS and T T ¯ T\overline{T} , JHEP 03
2019
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Planck Collaboration, Aghanim, N., Akrami, Y., Arroja, F., Ashdown, M., Aumont, J. et al., Planck 2018 results - i. overview and the cosmological legacy of planck , A&A 641
2020
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L. Susskind, De Sitter Holography: Fluctuations, Anomalous Symmetry, and Wormholes , Universe 7
2021
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D. Anninos and E. Harris, Three-dimensional de Sitter horizon thermodynamics , JHEP 10
2021
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2021
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2021
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L. Susskind, Entanglement and Chaos in De Sitter Space Holography: An SYK Example , JHAP 1
2021
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2021
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E. Witten, A note on boundary conditions in Euclidean gravity , Rev. Math. Phys. 33
2021
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2021
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D. Baumann, Cosmology . Cambridge University Press, 2022, 10.1017/9781108937092
2022
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L. Perivolaropoulos and F. Skara, Challenges for Λ \Lambda CDM: An update , New Astron. Rev. 95
2022
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2022
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2022
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2022
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S. Chapman, D. A. Galante and E. D. Kramer, Holographic complexity and de Sitter space , JHEP 02
2022
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B. Pethybridge and V. Schaub, Tensors and spinors in de Sitter space , JHEP 06
2022
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G. Sengör, The de Sitter group and its presence at the late-time boundary , PoS CORFU2021
2022
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2022
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2022
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J. R. David and J. Mukherjee, Entanglement entropy of gravitational edge modes , JHEP 08
2022
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2022
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G. Giribet and M. Leoni, 2D quantum gravity partition function on the fluctuating sphere , JHEP 09
2022
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E. Shaghoulian, The central dogma and cosmological horizons , JHEP 01
2022
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E. Shaghoulian and L. Susskind, Entanglement in De Sitter space , JHEP 08
2022
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2022
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H. W. Lin, The bulk Hilbert space of double scaled SYK , JHEP 11
2022
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E. Jørstad, R. C. Myers and S.-M. Ruan, Holographic complexity in dS d+1
2022
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D. Galante, Geodesics, complexity and holography in (A)dS 2 , PoS CORFU2021
2022
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2022
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B. Banihashemi and T. Jacobson, Thermodynamic ensembles with cosmological horizons , JHEP 07
2022
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2022
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D. Grumiller, R. Ruzziconi and C. Zwikel, Generalized dilaton gravity in 2d , SciPost Phys. 12
2022
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F. Ecker, D. Grumiller and R. McNees, dS 2 as excitation of AdS 2 , SciPost Phys. 13
2022
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2022
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D. Anninos and E. Harris, Interpolating geometries and the stretched dS 2
2022
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2022
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2022
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2022
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2022
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2022
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2023
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2023
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K. Narayan, de Sitter space, extremal surfaces, and time entanglement , Phys. Rev. D 107
2023
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2023
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2023
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2023
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2023
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J. W. York, Jr., Black hole thermodynamics and the Euclidean Einstein action , Phys. Rev. D 33
2092
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