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    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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    The equation of state associated with N=4 supersymmetric Yang–Mills in four dimensions, for SU(N) in the large N limit, is investigated using the AdS/CFT correspondence. An asymptotically AdS black-hole on the gravity 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 of the quark-gluon plasma is studied. It is known that there is a critical point where the heat capacity diverges, and this is reflected in the isothermal compressibility. Critical exponents are derived and found to be mean field in the large N limit. The same analysis applied to three- and six-dimensional conformal field theories again yields mean field exponents associated with the compressibility at the critical point.

    Item Type: Article
    Additional Information: © 2016 by the author; licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC-BY) license (
    Keywords: black hole entropy; thermodynamic phase transitions; AdS/CFT; P - V criticality;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 10481
    Identification Number:
    Depositing User: Dr. Brian Dolan
    Date Deposited: 13 Feb 2019 16:30
    Journal or Publication Title: Entropy
    Publisher: MDPI
    Refereed: Yes
      Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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