Short-cut to new anomalies in gravity duals to logarithmic conformal field theories

TL;DR

This paper investigates the calculation of new anomalies in gravity duals to logarithmic conformal field theories, using a shortcut method in generalized massive gravity and higher-derivative theories, revealing novel features like rank three Jordan cells.

Contribution

It introduces a shortcut technique for computing new anomalies in gravity theories dual to LCFTs, including higher-derivative models with holographic c-theorem and partially massless gravity.

Findings

Calculated new anomalies in generalized massive gravity.

Identified intriguing features like rank three Jordan cells.

Analyzed partially massless gravity with unique properties.

Abstract

Various massive gravity theories in three dimensions are conjecturally dual to logarithmic conformal field theories (LCFTs). We summarise the status of these conjectures. LCFTs are characterised by the values of the central charges and the so-called "new anomalies". We employ a short-cut to calculate these new anomalies in generalised massive gravity and in the recently proposed higher-derivative gravity theories with holographic c-theorem. Both cases permit LCFTs exhibiting intriguing features, like rank three Jordan cells or non-zero central charges. Finally, as an example we discuss in some detail the partially massless version of new massive gravity, a theory with several special properties that we call "partially massless gravity".