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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## 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 |
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Divisions: | School of Theoretical Physics > Preprints |

Date Deposited: | 05 Oct 2017 19:30 |

Last Modified: | 15 Dec 2022 02:37 |

URI: | https://dair.dias.ie/id/eprint/337 |

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