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arXiv · 1709.06024

Supersymmetric dS/CFT

Thomas Hertog·Gabriele Tartaglino-Mazzucchelli·Thomas Van Riet·Victoria Venken
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Abstract

We put forward new explicit realisations of dS/CFT that relate ${\cal N}=2$ 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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Thomas Hertog, Gabriele Tartaglino-Mazzucchelli, Thomas Van Riet, Victoria Venken. 2017-09-18. Supersymmetric dS/CFT. https://doi.org/10.1007/jhep02(2018)024

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