Spinors in Supersymmetric dS/CFT

We study fermionic bulk fields in the dS/CFT dualities relating \({\cal N}=2\) supersymmetric 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...

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Bibliographic Details
Published in:arXiv.org 2019-10
Main Authors: Hertog, Thomas, Tartaglino-Mazzucchelli, Gabriele, Venken, Gerben
Format: Article
Language:English
Subjects:
Deformation
Electrons
Euclidean geometry
Helium
Partitions (mathematics)
Supersymmetry
Three dimensional models
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Summary:We study fermionic bulk fields in the dS/CFT dualities relating \({\cal N}=2\) supersymmetric 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 deformations 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.
ISSN:2331-8422
DOI:10.48550/arxiv.1905.01322