Higher Order Corrections to Holographic Black Hole Chemistry

Abstract

We investigate the holographic Smarr relation beyond the large N limit. By making use of the holographic dictionary, we find that the bulk correlates of sub-leading 1/N corrections to this relation are related to the couplings in Lovelock gravity theories. We likewise obtain a holographic equation of state, and check its validity for a variety of interesting and non-trivial black holes, including rotating planar black holes in Gauss-Bonnet-Born-Infeld gravity, and non-extremal rotating black holes in minimal 5d gauged supergravity. We provide an explanation of the N-dependence of the holographic Smarr relation in terms of contributions due to planar and non-planar diagrams in the dual theory.

11 pages, 2 figures

References in corpus (10)

• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• A Note on Thermodynamics of Black Holes in Lovelock Gravity
• Smarr Formula and an Extended First Law for Lovelock Gravity
• Superfluid Black Holes
• Phase transition and Thermodynamical geometry of Reissner-Nordström-AdS Black Holes in Extended Phase Space
• Isolated critical point from Lovelock gravity
• Phase transition and thermodynamical geometry for Schwarzschild AdS black hole in $Ad{S}_5\times S^5$ spacetime
• Bose condensation and branes
• Chemical Potential in the First Law for Holographic Entanglement Entropy
• Thermodynamics of Rotating Black Branes in Gauss-Bonnet-Born-Infeld Gravity

Cited by in corpus (1)

• A Note on Gauss-Bonnet Black Holes at Criticality