Abstract
We show that the parameter space of Zwei-Dreibein Gravity (ZDG) in AdS3 exhibits critical points, where massive graviton modes coincide with pure gauge modes and new `logarithmic' modes appear, similar to what happens in New Massive Gravity. The existence of critical points is shown both at the linearized level, as well as by finding AdS wave solutions of the full non-linear theory, that behave as logarithmic modes towards the AdS boundary. In order to find these solutions explicitly, we give a reformulation of ZDG in terms of a single Dreibein, that involves an infinite number of derivatives. At the critical points, ZDG can be conjectured to be dual to a logarithmic conformal field theory with zero central charges, characterized by new anomalies whose conjectured values are calculated.
Highlights
We show that the parameter space of Zwei-Dreibein Gravity (ZDG) in AdS3 exhibits critical points, where massive graviton modes coincide with pure gauge modes and new ‘logarithmic’ modes appear, similar to what happens in New Massive Gravity
We will argue that the existence of critical points in the parameter space, at which logarithmic modes appear in the linearized spectrum, is a feature of the higher-derivative gravity models, and of the recently introduced ZDG model
We have shown that the parameter space of ZDG around AdS3 has critical points, where solutions with logarithmic fall-off behavior appear, both at the linearized and non-linear level
Summary
We will briefly review the ghost-free ZDG model and consider its linearization. We will discuss the linearized dynamics of fluctuations around a maximally symmetric background and show that there exist critical points in the parameter space where massive modes become massless and logarithmic modes appear, to what happens in critical NMG. The existence of these modes leads one to conjecture that ZDG at such critical points is dual to an LCFT and we discuss the corresponding new anomalies
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