Holographic entanglement entropy and the extended phase structure of STU black holes

By E. Cáceres, P. Nguyen, J. F. Pedraza. Journal of High Energy Physics, 2015

187 citations recorded by the source corpus.

We study the extended thermodynamics, obtained by considering the cosmological constant as a thermodynamic variable, of STU black holes in 4-dimensions in the fixed charge ensemble. The associated phase structure is conjectured to be dual to an RG-flow on the space of field theories. We find that for some charge configurations the phase structure resembles that of a Van der Waals gas: the system exhibits a family of first order phase transitions ending in a second order phase transition at a critical temperature. We calculate the holographic entanglement entropy for several charge configurations and show that for the cases where the gravity background exhibits Van der Waals behavior, the entanglement entropy presents a transition at the same critical temperature. To further characterize the phase transition we calculate appropriate critical exponents and show that they coincide. Thus, the entanglement entropy successfully captures the information of the extended phase structure. Finally, we discuss the physical interpretation of the extended space in terms of the boundary QFT and construct various holographic heat engines dual to STU black holes.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6ca7d72a1aa71eb32b6beae12a852e485a8adeaa

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Holographic black hole chemistry (2015, unknown): “ the bulk cosmological constant, which yields p b, can clearly not play the role of pressure on the eld theory side. As has already been emphasized in earlier work on holographic black hole chemistry [12,13], varying the cosmological constant in the bulk essentially amounts to changing the number of”
Black hole chemistry: thermodynamics with Lambda (2016, methodology): “This was done numerically for various temperatures and charges to obtain T − S curves which can indicate the presence of a phase transition [165].”