Spinors in supersymmetric dS/CFT

Thomas Hertog, Gabriele Tartaglino-Mazzucchelli, Gerben Venken
2019 Journal of High Energy Physics  
We study fermionic bulk fields in the dS/CFT dualities relating 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
more » ... 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.
doi:10.1007/jhep10(2019)117 fatcat:5fud5tnpxzcefk76shhy5guvri