English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Trace Anomaly and Counterterms in Designer Gravity

MPS-Authors
/persons/resource/persons20701

Astefanesei,  Dumitru
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Choque,  David
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Locator
There are no locators available
Fulltext (public)

1511.08759.pdf
(Preprint), 304KB

1511.08759v2.pdf
(Preprint), 371KB

JHEP03(2016)117.pdf
(Publisher version), 418KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Anabalon, A., Astefanesei, D., Choque, D., & Martinez, C. (2016). Trace Anomaly and Counterterms in Designer Gravity. Journal of high energy physics: JHEP, 2016(03): 117. doi:10.1007/JHEP03(2016)117.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0029-6128-E
Abstract
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 finite on-shell and satisfy a well defined variational principle for an arbitrary scalar field potential. We focus on scalar fields 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 conformal anomaly of the dual field theory in the generic case, as well as when there exist logarithmic branches of non-linear origin. As expected, the conformal 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 field. When the anomaly vanishes, 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 $\mathcal{N}=8$ supergravity and its $\omega$-deformation. Using the AdS/CFT duality dictionary, they correspond to triple trace deformations of the dual field theory.