Hydrodynamics of Sakai-Sugimoto model in the quenched approximation
Abstract
We study transport properties of the finite temperature Sakai-Sugimoto model. The model represents a holographic dual to 4+1 dimensional supersymmetric SU(Nc) gauge theory compactified on a circle with anti-periodic boundary conditions for fermions, coupled to Nf left-handed quarks and Nf right-handed quarks localized at different points on the compact circle. We analytically compute the speed of sound and the sound wave attenuation in the quenched approximation. Since confinement/deconfinement (and the chiral symmetry restoration) phase transitions are first order in this model, we do not see any signature of these phase transitions in the transport properties.
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