Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2012-03-05
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, v2: reference added
Scientific paper
From the holographic renormalizationg group viewpoint, while the scale transformation plays a primary role in the duality by providing the extra dimension, the special conformal transformation seems to only play a secondary role. We, however, claim that the space-time diffeomorphism is crucially related to the latter. For its demonstration, we study the holographic renormalization group flow of a foliation preserving diffeomophic theory of gravity (a.k.a. space-time flipped Horava gravity). We find that the dual field theory, if any, is only scale invariant but not conformal invariant. In particular, we show that the holographic trace anomaly in four-dimension predicts the Ricci scalar squared term that would be incompatible with the Wess-Zumino consistency condition if it were conformal. This illustrates how the foliation preserving diffeomophic theory of gravity could be inconsistent with a theorem of the dual unitary quantum field theory.
No associations
LandOfFree
Holographic Renormalization of Foliation Preserving Gravity and Trace Anomaly does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Holographic Renormalization of Foliation Preserving Gravity and Trace Anomaly, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Holographic Renormalization of Foliation Preserving Gravity and Trace Anomaly will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-536494