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Holographic thermodynamics at finite baryon density: some exact results

Andreas Karch et al JHEP11(2007)074   doi: 10.1088/1126-6708/2007/11/074  Help

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Andreas Karch and Andy O'Bannon
Department of Physics, University of Washington, Seattle, WA 98195-1560, U.S.A.
E-mail: ahob@u.washington.edu

Abstract. We use the AdS/CFT correspondence to study the thermodynamics of massive Script N = 2 supersymmetric hypermultiplets coupled to Script N = 4 supersymmetric SU(Nc) Yang-Mills theory in the limits of large Nc and large 't Hooft coupling. In particular, we study the theory at finite baryon number density. At zero temperature, we present an exact expression for the hypermultiplets' leading-order contribution to the free energy, and in the supergravity description we clarify which D-brane configuration is appropriate for any given value of the chemical potential. We find a second-order phase transition when the chemical potential equals the mass. At finite temperature, we present an exact expression for the hypermultiplets' leading-order contribution to the free energy at zero mass.

Key words: AdS-CFT Correspondence; Brane Dynamics in Gauge Theories; D-branes; Gauge-gravity correspondence

E-print number: 0709.0570
Cited: by
Refers: to

Received 28 September 2007, accepted for publication 8 November 2007
Published 26 November 2007

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