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

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

2010-10-21

arxiv.org/abs/1010.4449v3

JHEP 1101:090,2011

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, 2 figures; v2: added references; v3: Several rewordings in the introduction and section 2, added references. Matches

Scientific paper

10.1007/JHEP01(2011)090

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".

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