Holographic dual of extended black hole thermodynamics

TL;DR

This paper develops a holographic framework that incorporates the conformal symmetry of the dual CFT and treats the boundary conformal factor as a thermodynamic variable, establishing a dual first law for extended black hole thermodynamics.

Contribution

It introduces a holographic formulation of the first law of extended black hole thermodynamics by including the conformal factor as a thermodynamic parameter.

Findings

Holographic first law matches extended black hole thermodynamics.

Conformal symmetry constrains the thermodynamic relations.

Boundary conformal factor acts as a thermodynamic variable.

Abstract

By respecting the conformal symmetry of the dual CFT, and treating the conformal factor of the AdS boundary as a thermodynamic parameter, we formulate the holographic first law that is exactly dual to the first law of extended black hole thermodynamics with variable cosmological constant but fixed Newton's constant.