Amos Yarom

We consider magnetically charged AdS black branes with vanishing entropy at zero temperature. We argue that in the presence of a large enough Chern-Simons coupling the quasi normal modes of the brane will have a diminishing imaginary part. Since our result is agnostic to the matter content of the theory it implies that, generically, the boundary theory will possess long lived modes which should be observable in a proper setting.

A bstract: We study the turbulent dynamics of a relativistic (2 + 1)-dimensional fluid placed in a stochastic gravitational potential. We demonstrate that the dynamics of the fluid can be obtained using a dual holographic description realized by an asymptotically Anti-de Sitter black brane driven by a random boundary metric. Using the holographic duality we study the energy power spectrum of a fluid with an inverse energy cascade and show that it is compatible with that of a compressible fluid flow. We calculate the local energy dissipation and the local fluid velocity distribution which provide other measures of the holographic fluid turbulence.

We discuss analytic solutions describing magnetically charged black branes in d dimensional AdS space. Focusing on d = 5, we study the response of the brane to an external short lived electric field. We argue that when the theory possesses an ’t Hooft anomaly then at sufficiently low temperature a long lived oscillatory current will be observed long after the electric field has been turned off. We demonstrate this “anomalous resonance” effect via a numerical study.

We study the turbulent dynamics of a relativistic (2 + 1)-dimensional fluid placed in a stochastic gravitational potential. We demonstrate that the dynamics of the fluid can be obtained using a dual holographic description realized by an asymptotically Anti-de Sitter black brane driven by a random boundary metric. Using the holographic duality we study the inverse cascade energy power spectrum of the fluid and show that it is compatible with that of a compressible fluid flow. We calculate the local energy dissipation and the local fluid velocity distribution which provide other measures of the holographic fluid turbulence.

We construct the canonical constitutive relations for a fluid description of a system with a spin current, valid in an arbitrary number of dimensions in the absence of parity breaking or time reversal breaking terms. Our study encompasses the hydrostatic partition function, the entropy current, Kubo formula, conformal invariance, and the effect of charge. At some stages of the computation we turn on a background torsion tensor which naturally couples to the spin current.