Holographic Black Hole Chemistry

Abstract

Thermodynamic quantities associated with black holes in Anti-de Sitter space obey an interesting identity when the cosmological constant is included as one of the dynamical variables, the generalized Smarr relation. We show that this relation can easily be understood from the point of view of the dual holographic field theory. It amounts to the simple statement that the extensive thermodynamic quantities of a large $N$ gauge theory only depend on the number of colors, $N$, via an overall factor of $N^2$.

13 pages

References in corpus (5)

• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Smarr Formula and an Extended First Law for Lovelock Gravity
• Isolated critical point from Lovelock gravity
• Phase transition and thermodynamical geometry for Schwarzschild AdS black hole in $Ad{S}_5\times S^5$ spacetime
• Chemical Potential in the First Law for Holographic Entanglement Entropy

Cited by in corpus (91)

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