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We extend the work of Aarts et al., including an imaginary chemical potential for quark number into the Sakai-Sugimoto model and codimension k defect theories.
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A. Karch and A. O’Bannon, Holographic Thermodynamics at Finite Baryon Density: Some Exact Results
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P. de Forcrand and O. Philipsen, The chiral critical line of N f = 2 + 1 N_{f}=2+1 QCD at zero and non- zero baryon density
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M. D’Elia and F. Sanfilippo, The order of the Roberge-Weiss endpoint (finite size transition) in QCD
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