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The complex life of hydrodynamic modes
Journal of High Energy Physics
We study analytic properties of the dispersion relations in classical hydrodynamics by treating them as Puiseux series in complex momentum. The radii of convergence of the series are determined by the critical points of the associated complex spectral curves. For theories that admit a dual gravitational description through holography, the critical points correspond to level-crossings in the quasinormal spectrum of the dual black hole. We illustrate these methods in N = 4 supersymmetricdoi:10.1007/jhep11(2019)097 fatcat:ofisooe6ofbrzlwwfwpy37kyby