Holographic dictionary for Lifshitz and hyperscaling violating black holes
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.
Authors
- Wan Cong (ORCID: https://orcid.org/0000-0002-3107-6986)
- Manus R. Visser (ORCID: https://orcid.org/0000-0001-9161-6692)
- Robert B. Mann (ORCID: https://orcid.org/0000-0002-5859-2227)
- David Kubizňák (ORCID: https://orcid.org/0000-0003-0683-4578)
Institutions
- University of Vienna (AT)
- Radboud University Nijmegen (NL)
- University of Waterloo (CA)
- Charles University (CZ)
- Radboud University Medical Center (NL)
- Radboud Institute for Molecular Life Sciences (NL)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2025-09-09
- DOI
- https://doi.org/10.1103/kx5q-xk8y
- Citations
- 4
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- article
- Field-Weighted Citation Impact
- 7.48
Funders
- National Science Foundation
- Univerzita Karlova v Praze
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
- Grantová Agentura České Republiky
- Nederlandse Organisatie voor Wetenschappelijk Onderzoek
- Natural Sciences and Engineering Research Council of Canada