Higher-Dimensional Origin of Extended Black Hole Thermodynamics

Holographic braneworlds are used to present a higher-dimensional origin of extended black hole thermodynamics. In this framework, classical, asymptotically anti-de Sitter black holes map to quantum black holes in one dimension less, with a conformal matter sector that backreacts on the brane geometry. Varying the brane tension alone leads to a dynamical cosmological constant on the brane, and, correspondingly, a variable pressure attributed to the brane black hole. Thus, standard thermodynamics in the bulk, including a work term coming from the brane, induces extended thermodynamics on the brane, exactly, to all orders in the backreaction. A microsopic interpretation of the extended thermodynamics of specific quantum black holes is given via double holography.

Automated summary

Holographic braneworlds provide a higher-dimensional origin for extended black hole thermodynamics, where classical black holes are mapped to quantum black holes with one less dimension, and the conformal matter sector on the brane affects the brane geometry. Varying the brane tension leads to a dynamical cosmological constant and a variable pressure attributed to the brane black hole. Thus, the standard thermodynamics in the bulk induces extended thermodynamics on the brane, including a work term from the brane, to all orders in backreaction. A microscopic interpretation of the extended thermodynamics of specific quantum black holes is given via double holography.