Journal of High Energy Physics

, 2019:117 | Cite as

Spinors in supersymmetric dS/CFT

  • Thomas Hertog
  • Gabriele Tartaglino-Mazzucchelli
  • Gerben VenkenEmail author
Open Access
Regular Article - Theoretical Physics


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.


AdS-CFT Correspondence Extended Supersymmetry Higher Spin Gravity 


Open Access

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  • Thomas Hertog
    • 1
  • Gabriele Tartaglino-Mazzucchelli
    • 1
    • 2
    • 3
  • Gerben Venken
    • 1
    Email author
  1. 1.Institute for Theoretical PhysicsKU LeuvenLeuvenBelgium
  2. 2.Albert Einstein Center for Fundamental Physics, Institute for Theoretical PhysicsUniversity of BernBernSwitzerland
  3. 3.School of Mathematics and PhysicsUniversity of Queensland St LuciaBrisbaneAustralia

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