Supersymmetric dS/CFT

TL;DR

This paper proposes new realizations of dS/CFT relating supersymmetric vector models to Vasiliev theories in de Sitter space, indicating stability and absence of ghosts in supersymmetric de Sitter models.

Contribution

It introduces explicit supersymmetric dS/CFT models connecting vector models with higher-spin theories in de Sitter space, suggesting stability of supersymmetric de Sitter space.

Findings

Wave function peaked at undeformed de Sitter space

Low amplitude for strong deformations

Supersymmetric de Sitter space appears stable

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.