28 research outputs found
A strongly coupled anyon material
We use alternative quantisation of the D3-D5 system to explore properties of
a strongly coupled anyon material at finite density and temperature. We study
the transport properties of the material and find both diffusion and massive
holographic zero sound modes. By studying the anyon number conductivity we also
find evidence for the anyonic analogue of the metal-insulator transition.Comment: 19 pages, 6 figure
Holographic plasma and anyonic fluids
We use alternative quantisation of the system to explore properties
of a strongly coupled charged plasma and strongly coupled anyonic fluids. The
-transform of the system is used as a model for charged matter
interacting with a U(1) gauge field in the large coupling regime, and we
compute the dispersion relationship of the propagating electromagnetic modes as
the density and temperature are changed. A more general
transformation gives a strongly interacting anyonic fluid, and we study its
transport properties as we change the statistics of the anyons and the
background magnetic field.Comment: 26 pages, 26 figures, v2: typos corrected and refs adde
Leading order magnetic field dependence of conductivities in anomalous hydrodynamics
We show that literature results claimed for the magnetic field dependence of
the longitudinal conductivity in anomalous first-order hydrodynamics are frame
dependent at this derivative order. In particular, we focus on
-dimensional hydrodynamics in the presence of a constant magnetic field with a chiral anomaly and demonstrate that,
for constitutive relations up to and including order one in derivatives, the
anomaly drops out of the longitudinal conductivity. In particular, magnetic
field dependent terms that were previously found in the literature only enter
the non-zero frequency thermoelectric conductivities through explicitly frame
dependent pieces indicating that they are not physical. This issue can be
avoided entirely by incorporating the magnetic field into the fluid's
equilibrium state.Comment: V2: Several Clarifications added, title changed, Version to appear on
Physical review
CFT dual of the AdS Dirichlet problem: Fluid/Gravity on cut-off surfaces
We study the gravitational Dirichlet problem in AdS spacetimes with a view to
understanding the boundary CFT interpretation. We define the problem as bulk
Einstein's equations with Dirichlet boundary conditions on fixed timelike
cut-off hypersurface. Using the fluid/gravity correspondence, we argue that one
can determine non-linear solutions to this problem in the long wavelength
regime. On the boundary we find a conformal fluid with Dirichlet constitutive
relations, viz., the fluid propagates on a `dynamical' background metric which
depends on the local fluid velocities and temperature. This boundary fluid can
be re-expressed as an emergent hypersurface fluid which is non-conformal but
has the same value of the shear viscosity as the boundary fluid. The
hypersurface dynamics arises as a collective effect, wherein effects of the
background are transmuted into the fluid degrees of freedom. Furthermore, we
demonstrate that this collective fluid is forced to be non-relativistic below a
critical cut-off radius in AdS to avoid acausal sound propagation with respect
to the hypersurface metric. We further go on to show how one can use this
set-up to embed the recent constructions of flat spacetime duals to
non-relativistic fluid dynamics into the AdS/CFT correspondence, arguing that a
version of the membrane paradigm arises naturally when the boundary fluid lives
on a background Galilean manifold.Comment: 71 pages, 2 figures. v2: Errors in bulk metrics dual to
non-relativistic fluids (both on cut-off surface and on the boundary) have
been corrected. New appendix with general results added. Fixed typos. 82
pages, 2 figure