Holographic CFT phase transitions and criticality for Einstein–Maxwell–Power–Yang–Mills AdS black holes
- 1Damghan University
- 2Khazar University
- 3University of Mazandaran
Abstract
We present a comprehensive study of the thermodynamic phase structure of Anti-de Sitter black holes in Einstein–Maxwell–Power–Yang–Mills gravity, reformulated through holographic duality as an ensemble problem in the dual conformal field theory (CFT). By deriving an extended first law in which the central charge C is treated as a thermodynamic variable, we systematically explore both the canonical and mixed ensembles. In the canonical ensemble with fixed charges, we identify a van der Waals-like phase transition between small and large black holes, characterized by a swallowtail structure and coexistence curves with a negative slope. In contrast, within the mixed ensemble at fixed electric potential, the system exhibits a Hawking–Page transition between confined and deconfined phases of the boundary CFT. Our key finding is the suppressive role of the non-Abelian Yang–Mills charge q̃: increasing q̃ lowers both the minimum temperature and the Hawking–Page transition temperature, thereby significantly narrowing the stability window of the confined phase. Supported by detailed numerical analysis, these results reveal a rich, ensemble-dependent phase landscape and establish the nonlinear Yang–Mills sector as a critical controller of confinement physics in strongly coupled holographic systems.
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BibTeX
@article{alipour2026holographic,
title = {{Holographic CFT phase transitions and criticality for Einstein–Maxwell–Power–Yang–Mills AdS black holes}},
author = {Mohammad Reza Alipour and Mohammad Ali S. Afshar and Saeed Noori Gashti and Behnam Pourhassan},
journal = {The European Physical Journal C},
year = {2026},
month = nov,
doi = {10.1140/epjc/s10052-026-16514-1},
url = {https://link.springer.com/article/10.1140/epjc/s10052-026-16514-1},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Holographic CFT phase transitions and criticality for Einstein–Maxwell–Power–Yang–Mills AdS black holes
AU - Mohammad Reza Alipour
AU - Mohammad Ali S. Afshar
AU - Saeed Noori Gashti
AU - Behnam Pourhassan
PY - 2026
DA - 2026/11/06
JO - The European Physical Journal C
DO - 10.1140/epjc/s10052-026-16514-1
UR - https://link.springer.com/article/10.1140/epjc/s10052-026-16514-1
AB - We present a comprehensive study of the thermodynamic phase structure of Anti-de Sitter black holes in Einstein–Maxwell–Power–Yang–Mills gravity, reformulated through holographic duality as an ensemble problem in the dual conformal field theory (CFT). By deriving an extended first law in which the central charge C is treated as a thermodynamic variable, we systematically explore both the canonical and mixed ensembles. In the canonical ensemble with fixed charges, we identify a van der Waals-like phase transition between small and large black holes, characterized by a swallowtail structure and coexistence curves with a negative slope. In contrast, within the mixed ensemble at fixed electric potential, the system exhibits a Hawking–Page transition between confined and deconfined phases of the boundary CFT. Our key finding is the suppressive role of the non-Abelian Yang–Mills charge q̃: increasing q̃ lowers both the minimum temperature and the Hawking–Page transition temperature, thereby significantly narrowing the stability window of the confined phase. Supported by detailed numerical analysis, these results reveal a rich, ensemble-dependent phase landscape and establish the nonlinear Yang–Mills sector as a critical controller of confinement physics in strongly coupled holographic systems.
SN - 1434-6052
ER -