Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 12, Pages 1-15Publisher
SPRINGER
DOI: 10.1007/JHEP12(2015)073
Keywords
AdS-CFT Correspondence; Black Holes
Categories
Funding
- US Department of Energy [DE-SC0011637]
- U.S. Department of Energy (DOE) [DE-SC0011637] Funding Source: U.S. Department of Energy (DOE)
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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.
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