Holographic CFT phase transitions and criticality for charged AdS black holes

Autor(en)

Wan Cong, David Kubizňák, Robert B. Mann, Manus R. Visser

Abstrakt

We study the holographic dual of the extended thermodynamics of spherically symmetric, charged AdS black holes in the context of the AdS/CFT correspondence. The gravitational thermodynamics of AdS black holes can be extended by allowing for variations of the cosmological constant and Newton’s constant. In the dual CFT this corresponds to including the central charge C and its chemical potential μ as a new pair of conjugate thermodynamic variables, in addition to the standard pairs: temperature vs. entropy (T, S), electric potential vs. charge (Φ ~ , Q~) and field theory pressure vs. volume (p,V). For the (grand) canonical ensembles at fixed (Q~ , V, C), (Φ ~ , V, C) and (Q~ , V, μ), based on the holographic dictionary, we argue the CFT description of charged AdS black holes contains either critical phenomena or interesting phase behaviour. In the fixed (Q~ , V, μ) we find a new zeroth-order phase transition between a high- and low-entropy phase at some μ-dependent temperature. Finally, we point out there is no critical behaviour in the fixed p ensembles, i.e. there is no p − V criticality, and hence the CFT state dual to a classical charged black hole cannot be a Van der Waals fluid. Whether or not this phase structure is supported by CFT computations remains an interesting open question.

Organisation(en)

Gravitationsphysik

Externe Organisation(en)

University of Waterloo (UW), Perimeter Institute for Theoretical Physics, Charles University Prague, Universität Genf

Journal

Journal of High Energy Physics

Band

2022

Anzahl der Seiten

37

ISSN

1029-8479

DOI

https://doi.org/10.1007/JHEP08(2022)174

Publikationsdatum

08-2022

Peer-reviewed

Ja

ÖFOS 2012

103012 Hochenergiephysik, 103028 Relativitätstheorie

Schlagwörter

ASJC Scopus Sachgebiete

Nuclear and High Energy Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/607e175a-df5d-4fd7-be05-3598278f4474