AdS$_5$-Schwarzschild deformed black branes and hydrodynamic transport coefficients
Abstract
A family of deformed AdS-Schwarzschild black branes is here derived, employing the membrane paradigm of AdS/CFT. The solution of the Einstein-Hilbert action, with the Gibbons-Hawking term and a counter-term that eliminates eventual divergences, yields a partition function associated with the dual theory which allows the computation of the entropy, pressure and free energy, as state functions, in the canonical ensemble. AdS/CFT near-horizon methods are then implemented to compute the shear viscosity-to-entropy ratio, then restricting the range of the parameter that defines a family of deformed black branes.
Keywords
Cite
@article{arxiv.1912.04837,
title = {AdS$_5$-Schwarzschild deformed black branes and hydrodynamic transport coefficients},
author = {A. J. Ferreira-Martins and P. Meert and R. da Rocha},
journal= {arXiv preprint arXiv:1912.04837},
year = {2020}
}
Comments
12 pages, 3 figures. Improved version, with a thermodynamical analysis of the deformed black brane; additional Sect. V, with quantum corrections and the KSS bound violation