Sensitivity of holographic $\mathcal{N}=4$ SYM plasma hydrodynamics to finite coupling corrections

Abstract

Gauge theory/string theory holographic correspondence for $\mathcal{N}=4$ supersymmetric Yang-Mills theory is well under control in the planar limit, and for large (infinitely large) 't Hooft coupling, $\lambda \to \infty$. Certain aspects of the correspondence can be extended including $\mathcal{O}({\lambda }^{-3/2})$ corrections. There are no reliable first principle computations of the $\mathcal{N}=4$ plasma non-equilibrium properties beyond the stated order. We show extreme sensitivity of the non-hydrodynamic spectra of holographic $\mathcal{N}=4$ SYM plasma to $\mathcal{O}({\lambda }^{-3})$ corrections, challenging any conclusions reached from 'resummation' of $\mathcal{O}({\lambda }^{-3/2})$ corrections.

10 pages, 2 figures; v2: PRD version (rapid communications)

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• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Resolving disagreement for eta/s in a CFT plasma at finite coupling
• Shear viscosity of boost invariant plasma at finite coupling
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• Second order hydrodynamics of a CFT plasma from boost invariant expansion
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Cited by in corpus (3)

• Higher curvature corrections to pole-skipping
• Hydrodynamic dispersion relations at finite coupling
• Adding new branches to the "Christmas tree" of the quasinormal spectrum of black branes