Logarithmic corrections to entropy of 3D cosmological solutions from celestial dual

TL;DR

This paper extends the celestial dual theory for 3D flat cosmologies beyond semiclassical limits, calculating one-loop corrections that introduce logarithmic modifications to the entropy, enhancing understanding of quantum effects in flat space holography.

Contribution

It provides the first one-loop exact partition function calculation for the celestial dual, revealing nontrivial logarithmic corrections to the entropy of 3D flat cosmological solutions.

Findings

Logarithmic corrections to entropy from one-loop path integral.

Extension of celestial duality beyond semiclassical approximation.

Quantitative insights into quantum effects in flat space holography.

Abstract

Recently a one-dimensional Schwarzian type theory was proposed as an effective dual theory of pure gravity in (2+1) dimensional asymptotically flat spacetimes \cite{Bhattacharjee:2023sfd}. This codimension-two `celestial' dual captures the Bekenstein-Hawking entropy of bulk flat cosmologies in semiclassical limit. In this paper, we extend this analysis beyond semiclassical approximation and evaluate the one-loop exact partition function of this celestial dual theory. Our analysis results in novel nontrivial logarithmic corrections to the area term of entropy, appearing from the one-loop path integral.