1,140 research outputs found
Anomalies and Entanglement Entropy
We initiate a systematic study of entanglement and Renyi entropies in the
presence of gauge and gravitational anomalies in even-dimensional quantum field
theories. We argue that the mixed and gravitational anomalies are sensitive to
boosts and obtain a closed form expression for their behavior under such
transformations. Explicit constructions exhibiting the dependence of
entanglement entropy on boosts is provided for theories on spacetimes with
non-trivial magnetic fluxes and (or) non-vanishing Pontryagin classes.Comment: 17 pages + appendice
Black brane steady states
We follow the evolution of an asymptotically AdS black brane with a fixed
temperature gradient at spatial infinity until a steady state is formed. The
resulting energy density and energy flux of the steady state in the boundary
theory are compared to a conjecture on the behavior of steady states in
conformal field theories. Very good agreement is found.Comment: 8 pages, 3 figures. References added, typos correcte
A modulated shear to entropy ratio
We study correlation functions in an equilibrated spatially modulated phase
of Einstein-Maxwell two-derivative gravity. We find that the ratio of the
appropriate low frequency limit of the stress-stress two point function to the
entropy density is modulated. The conductivity, the stress-current and
current-stress correlation functions are also modulated. At temperatures close
to the phase transition we obtain analytic expressions for some of the
correlation functions.Comment: 38 pages, 2 figures; v2: added reference, minor correctio
Nonlinear viscous hydrodynamics in various dimensions using AdS/CFT
We compute coefficients of two-derivative terms in the hydrodynamic energy
momentum tensor of a viscous fluid which has an AdS_D dual with D between 3 and
7. For the case of D=3 we obtain an exact AdS_3 black hole solution, valid to
all orders in a derivative expansion, dual to a perfect fluid in 1+1
dimensions.Comment: 20 pages; typos corrected, references adde
Universal chiral conductivities for low temperature holographic superfluids
We argue that the chiral conductivities of generic s-wave holographic
superfluids, whose broken U(1) symmetry is anomalous, exhibit universal
behavior at low temperatures. The universal behavior we argue for is
independent of the details of the bulk action and on the emergent geometry deep
in the bulk interior at low temperatures. Our results are contrasted against
general expectations based on an analysis of the entropy current in
superfluids.Comment: 14 pages, 2 figure
Chern-Simons terms from thermal circles and anomalies
We compute the full contribution of flavor and (or) Lorentz anomalies to the
thermodynamic partition function. Apart from the Wess-Zumino consistency
condition the Euclidean generating function must satisfy an extra requirement
which we refer to as `consistency with the Euclidean vacuum.' The latter
requirement fixes all Chern-Simons terms that arise in a particular
Kaluza-Klein reduction of the theory. The solution to both conditions may be
encoded in a `thermal anomaly polynomial' which we compute. Our construction
fixes all the thermodynamic response parameters of a hydrodynamic theory
associated with anomalies.Comment: 30 page
Holographic Turbulence in a Large Number of Dimensions
We consider relativistic hydrodynamics in the limit where the number of
spatial dimensions is very large. We show that under certain restrictions, the
resulting equations of motion simplify significantly. Holographic theories in a
large number of dimensions satisfy the aforementioned restrictions and their
dynamics are captured by hydrodynamics with a naturally truncated derivative
expansion. Using analytic and numerical techniques we analyze two and
three-dimensional turbulent flow of such fluids in various regimes and its
relation to geometric data.Comment: 36 pages, 22 figure
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