Massive logarithmic graviton in the critical generalized massive gravity

TL;DR

This paper investigates a critical point in three-dimensional flat spacetime where a massive logarithmic mode appears in generalized massive gravity, and explores its connection to logarithmic conformal field theories and extended symmetries.

Contribution

It introduces the existence of a massive logarithmic mode at the critical point in flat spacetime and discusses its relation to logarithmic extensions of the Galilean conformal algebra.

Findings

Massive logarithmic mode propagates at the critical point.

Connection between flat spacetime gravity and logarithmic conformal field theories.

Extension of Galilean conformal algebra to include logarithmic structures.

Abstract

We study the generalized massive gravity in three dimensional flat spacetime. A massive logarithmic mode is propagating in the flat spacetime at the critical point where two masses degenerate. Furthermore, we discuss the logarithmic extension of the Galilean conformal algebra (GCA) which may arise from the exotic and standard rank-2 logarithmic conformal field theory (LCFT) on the boundary of AdS3 spacetime.