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Baryon-charge chemical potential in AdS/CFT

Journal

PROGRESS OF THEORETICAL PHYSICS
Volume 120, Issue 1, Pages 51-76

Publisher

PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE
DOI: 10.1143/PTP.120.51

Keywords

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Funding

  1. National Research Foundation of Korea [R11-2005-021-01001-0, R01-2007-000-10214-0] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)

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We investigate the D3-D7 model at finite U(1)(B)-charge chemical potential. We point out that the D3-D7 model with only the black-hole embeddings does not have the low-temperature and low-chemical-potential region in the grand-canonical ensemble, hence it is incomplete. The incomplete-ness is also seen as the thermodynamic instability in the canonical ensemble. We propose to solve the incomplete-ness problem by introducing the Minkowski embeddings at the finite U(1)(B)-charge. A possible physical interpretation of our model is given.

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