Holographic renormalisation group flows and renormalisation from a Wilsonian perspective

Understand

From the Wilsonian point of view, renormalisable theories are understood as submanifolds in theory space emanating from a particular fixed point under renormalisation group evolution.

• We show how this picture precisely applies to their gravity duals.
• We investigate the Hamilton-Jacobi equation satisfied by the Wilson action and find the corresponding fixed points and their eigendeformations, which have a diagonal evolution close to the fixed points.
• The relevant eigendeformations are used to construct renormalised theories.