Pressure and Compressibility of Conformal Field Theories from the AdS/CFT Correspondence

Dolan, Brian P. (2016) Pressure and Compressibility of Conformal Field Theories from the AdS/CFT Correspondence. Entropy, 18 (5). p. 169. ISSN 1099-4300

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Official URL: http://doi.org/10.3390/e18050169

Abstract

The equation of state associated with N = 4 supersymmetric Yang-Mills in 4 dimensions, for SU(N) in the large N limit, is investigated using the AdS/CFT correspondence. An asymptotically AdS black-hole on the grav-ity side provides a thermal background for the Yang-Mills theory on the boundary in which the cosmological constant is equivalent to a volume. The thermodynamic variable conjugate to the cosmological constant is a pressure and the P − V diagram is studied. It is known that there is a critical point where the heat capacity diverges and this is reflected in the isothermal com-pressibility. Critical exponents are derived and found to be mean field in the large N limit. The same analysis applied to 3 and 6 dimensional con-formal field theories again yields mean field exponents associated with the compressibility at the critical point. [1]

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 05 Oct 2017 19:30
Last Modified: 26 Jul 2018 10:53
URI: http://dair.dias.ie/id/eprint/337

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