9 research outputs found
Fast Scramblers, Horizons and Expander Graphs
We propose that local quantum systems defined on expander graphs provide a
simple microscopic model for thermalization on quantum horizons. Such systems
are automatically fast scramblers and are motivated from the membrane paradigm
by a conformal transformation to the so-called optical metric.Comment: 22 pages, 2 figures. Added further discussion in section 3. Added
reference
Stringy Stability of Charged Dilaton Black Holes with Flat Event Horizon
Electrically charged black holes with flat event horizon in anti-de Sitter
space have received much attention due to various applications in Anti-de
Sitter/Conformal Field Theory (AdS/CFT) correspondence, from modeling the
behavior of quark-gluon plasma to superconductor. Crucial to the physics on the
dual field theory is the fact that when embedded in string theory, black holes
in the bulk may become vulnerable to instability caused by brane
pair-production. Since dilaton arises naturally in the context of string
theory, we study the effect of coupling dilaton to Maxwell field on the
stability of flat charged AdS black holes. In particular, we study the
stability of Gao-Zhang black holes, which are locally asymptotically anti-de
Sitter. We find that for dilaton coupling parameter > 1, flat black
holes are stable against brane pair production, however for 0 < < 1,
the black holes eventually become unstable as the amount of electrical charges
is increased. Such instability however, behaves somewhat differently from that
of flat Reissner-Nordstr\"om black holes. In addition, we prove that the
Seiberg-Witten action of charged dilaton AdS black hole of Gao-Zhang type with
flat event horizon (at least in 5-dimension) is always logarithmically
divergent at infinity for finite values of , and is finite and positive
in the case tends to infinity . We also comment on the robustness of
our result for other charged dilaton black holes that are not of Gao-Zhang
type.Comment: Fixed some confusions regarding whether part of the discussions
concern electrically charged hole or magnetically charged one. No changes to
the result
A Chiral Magnetic Effect from AdS/CFT with Flavor
For (3+1)-dimensional fermions, a net axial charge and external magnetic
field can lead to a current parallel to the magnetic field. This is the chiral
magnetic effect. We use gauge-gravity duality to study the chiral magnetic
effect in large-Nc, strongly-coupled N=4 supersymmetric SU(Nc) Yang-Mills
theory coupled to a number Nf << Nc of N=2 hypermultiplets in the Nc
representation of SU(Nc), i.e. flavor fields. Specifically, we introduce an
external magnetic field and a time-dependent phase for the mass of the flavor
fields, which is equivalent to an axial chemical potential for the flavor
fermions, and we compute holographically the resulting chiral magnetic current.
For massless flavors we find that the current takes the value determined by the
axial anomaly. For massive flavors the current appears only in the presence of
a condensate of pseudo-scalar mesons, and has a smaller value than for massless
flavors, dropping to zero for sufficiently large mass or magnetic field. The
axial symmetry in our system is part of the R-symmetry, and the states we study
involve a net flow of axial charge to the adjoint sector from an external
source coupled to the flavors. We compute the time rate of change of axial
charge and of energy both in field theory and from holography, with perfect
agreement. In contrast to previous holographic models of the chiral magnetic
effect, in our system the vector current is conserved and gauge-invariant
without any special counterterms.Comment: 54 pages, 18 eps files in 6 figure