Holographic Renormalization of Foliation Preserving Gravity and Trace Anomaly

Understand

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).