Trace anomaly and counterterms in designer gravity
Anabalon
A
author
Astefanesei
D
author
Choque
D
author
Martinez
C
author
2016
English
We construct concrete counterterms of the Balasubramanian-Kraus type for Einstein-scalar theories with designer gravity boundary conditions in AdS(4), so that the total action is fi nite on-shell and satisfy a well de fi ned variational principle. We focus on scalar fi elds with the conformal mass m(2) = -2l(-2) and show that the holographic mass matches the Hamiltonian mass for any boundary conditions. We compute the trace anomaly of the dual fi eld theory in the generic case, as well as when there exist logarithmic branches of non-linear origin. As expected, the anomaly vanishes for the boundary conditions that are AdS invariant. When the anomaly does not vanish, the dual stress tensor describes a thermal gas with an equation of state related to the boundary conditions of the scalar fi eld. In the case of a vanishing anomaly, we recover the dual theory of a massless thermal gas. As an application of the formalism, we consider a general family of exact hairy black hole solutions that, for some particular values of the parameters in the moduli potential, contains solutions of four-dimensional gauged N = 8 supergravity and its omega-deformation. Using the AdS/CFT duality dictionary, they correspond to triple trace deformations of the dual fi eld theory.
AdS-CFT Correspondence
Black Holes
Gauge-gravity correspondence
WOS:000375316900002
exported from refbase (show.php?record=618), last updated on Thu, 02 Jun 2016 08:21:54 -0400
text
files/618_Anabalon_etal2016.pdf
10.1007/JHEP03(2016)117
Anabalon_etal2016
Journal Of High Energy Physics
J. High Energy Phys.
2016
Springer
continuing
periodical
academic journal
3
29 pp
1029-8479