Holographic dictionary for Lifshitz and hyperscaling violating black holes

Author(s)
Wan Cong, David Kubizňák, Robert B. Mann, Manus R. Visser
Abstract

We develop a novel holographic dictionary for the thermodynamics of black holes with Lifshitz and hyperscaling violating asymptotics, generalizing the dictionary for anti—de Sitter black holes. Using our dictionary we show that the holographic Euler equation is dual to a generalized Smarr formula for these black holes, and we find a precise match between the extended bulk and boundary first law. Notably, the dictionary for the central charge appearing in the Euler relation depends on the hyperscaling violating parameter, but not on the Lifshitz dynamical exponent.

Organisation(s)
Gravitational Physics
External organisation(s)
Charles University Prague, University of Waterloo (UW), Radboud University
Journal
Physical Review D
Volume
112
No. of pages
7
ISSN
2470-0010
DOI
https://doi.org/10.48550/arXiv.2410.16145
Publication date
09-2025
Peer reviewed
Yes
Austrian Fields of Science 2012
103012 High energy physics, 103028 Theory of relativity
Portal url
https://ucrisportal.univie.ac.at/en/publications/22535566-db5f-4a3a-9e31-2f726f34adc5