Quasinormal modes around the BTZ black hole at the tricritical generalized massive gravity

TL;DR

This paper derives log-square quasinormal modes of gravitons around BTZ black holes at a tricritical point in generalized massive gravity, demonstrating an approximate AdS/LCFT correspondence and discussing unitarity truncation.

Contribution

It introduces a method to compute log-square quasinormal modes at the tricritical point, linking gravity and conformal field theory in this context.

Findings

Log-square quasinormal frequencies obtained via operator method.

Approximate AdS/LCFT correspondence demonstrated.

Discussion of unitarity truncation process.

Abstract

Employing the operator method, we obtain log-square quasinormal modes and frequencies of a graviton around the BTZ black hole at the tricritical point of the generalized massive gravity. The log-square quasinormal frequencies are also obtained by considering a finite temperature conformal field theory. This shows the AdS/LCFT correspondence at the tricritical point approximately. We discuss a truncation process to the unitary theory on the BTZ black hole background.