Spinors in Supersymmetric dS/CFT
Abstract
We study fermionic bulk fields in the dS/CFT dualities relating 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.
Cite
@article{arxiv.1905.01322,
title = {Spinors in Supersymmetric dS/CFT},
author = {Thomas Hertog and Gabriele Tartaglino-Mazzucchelli and Victoria Venken},
journal= {arXiv preprint arXiv:1905.01322},
year = {2025}
}
Comments
33 pages, 9 figures v2: minor modifications, appendix added, version published in JHEP