# Spinors in Supersymmetric dS/CFT

## TL;DR

This paper explores fermionic fields in supersymmetric dS/CFT dualities, analyzing the Hartle-Hawking wave function and its behavior near the supersymmetric de Sitter vacuum, with implications for quantum cosmology.

## Contribution

It provides a detailed evaluation of the Hartle-Hawking wave function in supersymmetric dS/CFT models involving fermionic fields, extending previous bulk computations.

## Key findings

- Wave function is well-behaved and peaked near the supersymmetric vacuum.
- Low amplitude for large deformations of the universe.
- Qualitative agreement with earlier bulk fermionic field computations.

## Abstract

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.