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Spinors in Supersymmetric dS/CFT

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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.

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hep-th 1

years

2024 1

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CONDITIONAL 1

representative citing papers

Holographic (Eternal) Inflation

hep-th · 2024-11-27 · conditional · novelty 6.0

Complex mass deformations of ABJM theory yield a holographic wave function for an inflationary universe, dominated by the Hartle-Hawking no-boundary state with a subleading tunneling term.

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  • Holographic (Eternal) Inflation hep-th · 2024-11-27 · conditional · none · ref 48 · internal anchor

    Complex mass deformations of ABJM theory yield a holographic wave function for an inflationary universe, dominated by the Hartle-Hawking no-boundary state with a subleading tunneling term.