@misc{10481/96022,
year = {2016},
month = {3},
url = {https://hdl.handle.net/10481/96022},
abstract = {From the Wilsonian point of view, renormalisable theories are understood
as submanifolds in theory space emanating from a particular  xed point under renormalisation
group evolution. We show how this picture precisely applies to their gravity
duals. We investigate the Hamilton-Jacobi equation satis ed by the Wilson action and
 nd the corresponding  xed points and their eigendeformations, which have a diagonal
evolution close to the  xed points. The relevant eigendeformations are used to construct
renormalised theories. We explore the relation of this formalism with holographic renormalisation.
We also discuss di erent renormalisation schemes and show that the solutions
to the gravity equations of motion can be used as renormalised couplings that parametrise
the renormalised theories. This provides a transparent connection between holographic
renormalisation group 
ows in the Wilsonian and non-Wilsonian approaches. The general
results are illustrated by explicit calculations in an interacting scalar theory in AdS space.},
organization = {Spanish MICINN Projects FPA 2010-17915 and FPA 2013-47836-C3-2-P},
organization = {European Commission through the contract PITN-GA-2012-316704 (HIGGSTOOLS)},
publisher = {Springer},
keywords = {AdS-CFT Correspondence},
keywords = {Gauge-gravity correspondence},
keywords = {Renormalization Group},
title = {Holographic renormalisation group  ows and renormalisation from a Wilsonian perspective},
doi = {10.1007/JHEP03(2016)198},
author = {Lizana, J. M. and Morris, T. R. and Pérez-Victoria Moreno De Barreda, Manuel María},
}