Real-Time Correlators and Non-Relativistic Holography

TL;DR

This paper develops a holographic method to compute Lorentzian correlation functions in non-relativistic theories with Schrodinger symmetry, extending existing techniques to new geometries.

Contribution

It adapts the Skenderis-van Rees contour formalism to Schrodinger-invariant geometries for the first time.

Findings

Successfully extends holographic correlation function techniques to non-relativistic geometries.

Provides a framework for computing real-time correlators in Schrodinger-invariant theories.

Enhances understanding of holography in non-relativistic settings.

Abstract

We consider Lorentzian correlation functions in theories with non-relativistic Schrodinger symmetry. We employ the method developed by Skenderis and van Rees in which the contour in complex time defining a given correlation function is associated holographically with the gluing together of Euclidean and Lorentzian patches of spacetimes. This formalism extends appropriately to geometries with Schrodinger isometry.