Real-time response in AdS/CFT with application to spinors

TL;DR

This paper presents a straightforward derivation of the real-time AdS/CFT correspondence, extends it to spinor operators, and applies it to compute real-time fermionic correlators in dual CFTs involving AdS and BTZ black holes.

Contribution

It introduces a simple analytic continuation method for real-time AdS/CFT and extends the formalism to include spinor operators in the dual field theories.

Findings

Derived real-time AdS/CFT prescription via analytic continuation.

Extended formalism to spinor operators in AdS/CFT.

Applied method to compute fermionic correlators in AdS and BTZ backgrounds.

Abstract

We discuss a simple derivation of the real-time AdS/CFT prescription as an analytic continuation of the corresponding problem in Euclidean signature. We then extend the formalism to spinor operators and apply it to the examples of real-time fermionic correlators in CFTs dual to pure AdS and the BTZ black hole.