Thermodynamic Volume in AdS/CFT
Department of Physics and Astronomy, Sejong University, Seoul 05006, Korea
2 Department of Physics, College of Science, Yonsei University, Seoul 03722, Korea
Published online: 9 January 2018
In this note, we study on extended thermodynamics of AdS black holes by varying cosmological constant. We found and discussed pressure and volume of both bulk and boundary physics through AdS/CFT correspondence. In particular, we derive the relation between thermodynamic volume and a chemical potential for M2 brane dual to four dimensional AdS space. In addition, we show that thermodynamic volume of hyperbolic black hole is related to ‘entanglement pressure’ coming from a generalized first law of entanglement entropy.
© The Authors, published by EDP Sciences, 2018
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