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arXiv · 1912.04837

AdS$_5$-Schwarzschild deformed black branes and hydrodynamic transport coefficients

A. J. Ferreira-Martins·P. Meert·R. da Rocha
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Abstract

A family of deformed AdS$_5$-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.

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A. J. Ferreira-Martins, P. Meert, R. da Rocha. 2019-12-10. AdS$_5$-Schwarzschild deformed black branes and hydrodynamic transport coefficients. https://doi.org/10.1016/j.nuclphysb.2020.115087

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