Topological perspective on bulk boundary thermodynamic equivalence
Abstract
Abstract We establish an exact duality between the extended thermodynamics of five-dimensional charged Gauss–Bonnet AdS black holes and the thermodynamic framework of the dual boundary conformal field theory (CFT). The thermodynamics of the dual CFT involves two central charges originating from the trace anomaly. We demonstrate a precise correspondence between the extended first laws on the bulk and boundary sides. Moreover, the topological charges of the CFT thermodynamics, associated with the phase transition and critical point, coincide with those of the corresponding bulk black hole.
Fields of Study & Subjects
Black Holes and Theoretical Physics
Astrophysical Phenomena and Observations
Noncommutative and Quantum Gravity Theories
Publication details
- Journal / source
- The European Physical Journal C
- Publisher
- Springer Science and Business Media LLC
- Volume
- 86
- Issue
- 5
- Publication date
- 9 May 2026
- Language
- EN