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One proposal for dS/CFT is that the Hartle-Hawking (HH) wave function in the large volume limit is equal to the partition function of a Euclidean CFT deformed by various operators.
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2008
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J. Garriga and A. Vilenkin, Holographic Multiverse
2009
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2010
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J. Hartle, S. Hawking, and T. Hertog, The No-Boundary Measure in the Regime of Eternal Inflation
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2013
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J. B. Hartle, S. W. Hawking, and T. Hertog, Quantum Probabilities for Inflation from Holography
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P. McFadden and K. Skenderis, Holographic Non-Gaussianity
2011
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P. McFadden and K. Skenderis, Cosmological 3-point correlators from holography
2011
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A. Castro and A. Maloney, The Wave Function of Quantum de Sitter
2012
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D. Harlow and D. Stanford, Operator Dictionaries and Wave Functions in AdS/CFT and dS/CFT
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J. Maldacena, Einstein Gravity from Conformal Gravity
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D. Anninos, T. Hartman, and A. Strominger, Higher Spin Realization of the dS/CFT Correspondence
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2014
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T. Hertog, Predicting a Prior for Planck
2014
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R. P. Woodard, Perturbative Quantum Gravity Comes of Age
2014
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