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.
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Hertog, T., Tartaglino-Mazzucchelli, G., Van Riet, T. et al. Supersymmetric dS/CFT. J. High Energ. Phys. 2018, 24 (2018). https://doi.org/10.1007/JHEP02(2018)024
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DOI: https://doi.org/10.1007/JHEP02(2018)024