Fermionic Schwinger-Keldysh Propagators from AdS/CFT
G. C. Giecold

TL;DR
This paper extends the Herzog and Son prescription to compute real-time fermionic Green functions at finite temperature using AdS/CFT, involving spinor properties in curved, complexified spacetime.
Contribution
It introduces a method to calculate fermionic propagators in AdS/CFT at finite temperature, generalizing existing bosonic prescriptions.
Findings
Extended the real-time Green function computation to fermions.
Clarified the role of spinors in curved, complexified spacetime.
Provided a framework for fermionic correlators in holography.
Abstract
The Herzog and Son prescription for computing real-time Green functions for finite temperature gauge theories from their gravity dual is generalized to fermions. These notes explain how such an extension involves properties of spinors in a curved, complexified space-time.
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