English

Spinors in Supersymmetric dS/CFT

High Energy Physics - Theory 2025-03-13 v2 General Relativity and Quantum Cosmology

Abstract

We study fermionic bulk fields in the dS/CFT dualities relating N=2{\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.

Keywords

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

R2 v1 2026-06-23T08:56:37.003Z