Journal of High Energy Physics

, 2015:184 | Cite as

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

  • Elena Caceres
  • Phuc H. Nguyen
  • Juan F. Pedraza
Open Access
Regular Article - Theoretical Physics


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.


Black Holes in String Theory AdS-CFT Correspondence Black Holes 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2015

Authors and Affiliations

  • Elena Caceres
    • 1
    • 2
  • Phuc H. Nguyen
    • 2
    • 3
  • Juan F. Pedraza
    • 2
    • 3
  1. 1.Facultad de CienciasUniversidad de ColimaColimaMexico
  2. 2.Theory Group, Department of PhysicsUniversity of TexasAustinUnited States
  3. 3.Texas Cosmology CenterUniversity of TexasAustinUnited States

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