Abstract
We study fermionic bulk fields in the dS/CFT dualities relating \( \mathcal{N} \)= 2 su- persymmetric Euclidean vector models with reversed spin-statistics in three dimensions to supersymmetric Vasiliev theories in four-dimensional de Sitter space. These dualities specify the Hartle-Hawking wave function in terms of the partition function of deforma- tions of the vector models. We evaluate this wave function in homogeneous minisuperspace models consisting of supersymmetry-breaking combinations of a half-integer spin field with either a scalar, a pseudoscalar or a metric squashing. The wave function appears to be well-behaved and globally peaked at or near the supersymmetric de Sitter vacuum, with a low amplitude for large deformations. Its behavior in the semiclassical limit qualitatively agrees with earlier bulk computations both for massless and massive fermionic fields.
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Hertog, T., Tartaglino-Mazzucchelli, G. & Venken, G. Spinors in supersymmetric dS/CFT. J. High Energ. Phys. 2019, 117 (2019). https://doi.org/10.1007/JHEP10(2019)117
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DOI: https://doi.org/10.1007/JHEP10(2019)117