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Spinors in (Anti-)de Sitter Space
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abstract
We explore analytical aspects of correlators involving Dirac spinors in $d+1$- dimensional de Sitter space. Adapting the formalism of Sleight and Taronna, we show how to relate processes involving fermions in the in-in formalism to equivalent Witten diagrams in (complexified) Euclidean anti-de Sitter space. We exemplify the method for a fermion-exchange diagram. We establish a positive spectral decomposition over the principal series of the Wightman function of two spinors, showing the consequences of unitarity.
Forward citations
Cited by 2 Pith papers
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The two-dimensional thermal Ising model on de Sitter provides exact cosmological correlators that stay finite at late times, with perturbative secular logarithms resummed into principal-series oscillations.
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Cosmological Correlators in Gauge Theory and Gravity from EAdS
Gauge and gravitational late-time correlators in de Sitter are mapped to EAdS Witten diagrams, with new Mellin-space propagators and a treatment of even boundary dimensions.
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