Milne Spacetime with Conical Defect: Some Holographic Studies

TL;DR

This paper explores holographic field theories on Milne spacetime with conical defects, calculating two-point correlators in an AdS-Milne background and revealing their image sum structure.

Contribution

It introduces a holographic analysis of field theories on Milne spacetime with conical defects, providing explicit correlator formulas in this setting.

Findings

Correlators can be expressed as sums over images.

Explicit compact formulas for correlators are derived.

Results apply to both twisted and untwisted operators.

Abstract

In this work, we initiate a holographic study of field theory on time dependent background with conical defect. We focus on the Milne space-time to which, in the absence of cosmological constant, at late time any hyperbolic Friedmann-Robertson-Walker metric flows to. When the Milne vacuum is represented by the adiabatic one, we are able to compute the two point correlators of operators which are dual to the massive scalars in the bulk AdS-Milne background with defect. We find, for both twisted and untwisted operators, the correlators can be represented as the sum over images. This sum can be carried out explicitly to write the results in compact forms.