Supersymmetric dS/CFT

Abstract

We put forward new explicit realisations of dS/CFT that relate $\mathcal{N}=2$ supersymmetric Euclidean vector models with reversed spin-statistics in three dimensions to specific supersymmetric Vasiliev theories in four-dimensional de Sitter space. The partition function of the free supersymmetric vector model deformed by a range of low spin deformations that preserve supersymmetry appears to specify a well-defined wave function with asymptotic de Sitter boundary conditions in the bulk. In particular we find the wave function is globally peaked at undeformed de Sitter space, with a low amplitude for strong deformations. This suggests that supersymmetric de Sitter space is stable in higher-spin gravity and in particular free from ghosts. We speculate this is a limiting case of the de Sitter realizations in exotic string theories.

V2: references and comments added, typos corrected, version published in JHEP; 27 pages, 3 figures, 1 table

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• Cosmological Shapes of Higher-Spin Gravity
• On classical de Sitter and Minkowski solutions with intersecting branes
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• dS${}_2$ Supergravity
• Wavefunctions in dS/CFT revisited: principal series and double-trace deformations
• Unitarity of Symplectic Fermion in $\alpha$-vacua with Negative Central Charge
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• Microscopics of de Sitter Entropy from Precision Holography
• Peculiar Index Relations, 2D TQFT, and Universality of SUSY Enhancement
• Holographic (Eternal) Inflation
• A correspondence between strings in the Hagedorn phase and asymptotically de Sitter space