One-loop partition function of three-dimensional flat gravity

TL;DR

This paper shows that the one-loop partition function of three-dimensional flat gravity matches the characters of the BMS3 group, extending methods from anti-de Sitter gravity to flat spacetime.

Contribution

It demonstrates a novel connection between flat gravity partition functions and BMS3 group characters, adapting techniques from AdS to flat space.

Findings

Partition function reproduces BMS3 characters

Extends AdS methods to flat gravity

Provides insight into flat space holography

Abstract

In this note we point out that the one-loop partition function of three-dimensional flat gravity, computed along the lines originally developed for the anti-de Sitter case, reproduces characters of the BMS3 group.