3,431 research outputs found
Quasi-normal modes of AdS black holes : A superpotential approach
A novel method, based on superpotentials is proposed for obtaining the
quasi-normal modes of anti-de Sitter black holes. This is inspired by the case
of the three-dimensional BTZ black hole, where the quasi-normal modes can be
obtained exactly and are proportional to the surface gravity. Using this
approach, the quasi-normal modes of the five dimensional Schwarzschild
anti-deSitter black hole are computed numerically. The modes again seem to be
proportional to the surface gravity for very small and very large black holes.
They reflect the well-known instability of small black holes in anti-deSitter
space.Comment: LaTeX, 17 pages, 5 eps figures, 1 eepic figure, minor typos correcte
Rapid Thermalization by Baryon Injection in Gauge/Gravity Duality
Using the AdS/CFT correspondence for strongly coupled gauge theories, we
calculate thermalization of mesons caused by a time-dependent change of a
baryon number chemical potential. On the gravity side, the thermalization
corresponds to a horizon formation on the probe flavor brane in the AdS throat.
Since heavy ion collisions are locally approximated by a sudden change of the
baryon number chemical potential, we discuss implication of our results to RHIC
and LHC experiments, to find a rough estimate of rather rapid thermalization
time-scale t_{th} < 1 [fm/c]. We also discuss universality of our analysis
against varying gauge theories.Comment: 9 pages, 7 figures. v2: minor clarifications, version to appear in
PR
Anti-de Sitter boundary in Poincare coordinates
We study the space-time boundary of a Poincare patch of Anti-de Sitter (AdS)
space. We map the Poincare AdS boundary to the global coordinate chart and show
why this boundary is not equivalent to the global AdS boundary. The Poincare
AdS boundary is shown to contain points of the bulk of the entire AdS space.
The Euclidean AdS space is also discussed. In this case one can define a
semi-global chart that divides the AdS space in the same way as the
corresponding Euclidean Poincare chart.Comment: In this revised version we add a discussion of the physical
consequences of the choice of a coordinate system for AdS space. We changed
figure 1 and added more references. Version to be published in Gen. Relat.
Grav
Regular and Black Hole Solutions in the Einstein-Skyrme Theory with Negative Cosmological Constant
We study spherically symmetric regular and black hole solutions in the
Einstein-Skyrme theory with a negative cosmological constant. The Skyrme field
configuration depends on the value of the cosmological constant in a similar
manner to effectively varying the gravitational constant. We find the maximum
value of the cosmological constant above which there exists no solution. The
properties of the solutions are discussed in comparison with the asymptotically
flat solutions. The stability is investigated in detail by solving the linearly
perturbed equation numerically. We show that there exists a critical value of
the cosmological constant above which the solution in the branch representing
unstable configuration in the asymptotically flat spacetime turns to be
linearly stable.Comment: 10 pages, 9 figures, comments and one reference added, to appear in
Class.Quant.Gra
Holographic Aspects of Fermi Liquids in a Background Magnetic Field
We study the effects of an external magnetic field on the properties of the
quasiparticle spectrum of the class of 2+1 dimensional strongly coupled
theories holographically dual to charged AdS black holes at zero
temperature. We uncover several interesting features. At certain values of the
magnetic field, there are multiple quasiparticle peaks representing a novel
level structure of the associated Fermi surfaces. Furthermore, increasing
magnetic field deforms the dispersion characteristics of the quasiparticle
peaks from non-Landau toward Landau behaviour. At a certain value of the
magnetic field, just at the onset of Landau-like behaviour of the Fermi liquid,
the quasiparticles and Fermi surface disappear.Comment: 18 pages, 10 figures. Revised some of the terminology: changed
non-separable solutions to infinite-sum solution
Structure of Vector Mesons in Holographic Model with Linear Confinement
Wave functions and form factors of vector mesons are investigated in the
holographic dual model of QCD with a smooth oscillator-like wall. We introduce
wave functions conjugate to solutions of the 5D equation of motion and develop
a formalism based on these wave functions, which are very similar to those of a
quantum-mechanical oscillator. For the lowest bound state (rho-meson), we show
that, in this model, the basic elastic form factor exhibits the perfect vector
meson dominance, i.e., it is given by the rho-pole contribution alone. The
electric radius of the rho-meson is calculated, _C = 0.655 fm^2, which
is larger than in case of the hard-wall cutoff. The squared radii of higher
excited states are found to increase logarithmically rather than linearly with
the radial excitation number. We calculate the coupling constant f_rho and find
that the experimental value is closer to that calculated in the hard-wall
model.Comment: 8 pages, RevTex4, references, comments and a figure added. Some
terminoloy change
Spacetimes with Longitudinal and Angular Magnetic Fields in Third Order Lovelock Gravity
We obtain two new classes of magnetic brane solutions in third order Lovelock
gravity. The first class of solutions yields an -dimensional spacetime
with a longitudinal magnetic field generated by a static source. We generalize
this class of solutions to the case of spinning magnetic branes with one or
more rotation parameters. These solutions have no curvature singularity and no
horizons, but have a conic geometry. For the spinning brane, when one or more
rotation parameters are nonzero, the brane has a net electric charge which is
proportional to the magnitude of the rotation parameters, while the static
brane has no net electric charge. The second class of solutions yields a
pacetime with an angular magnetic field. These solutions have no curvature
singularity, no horizon, and no conical singularity. Although the second class
of solutions may be made electrically charged by a boost transformation, the
transformed solutions do not present new spacetimes. Finally, we use the
counterterm method in third order Lovelock gravity and compute the conserved
quantities of these spacetimes.Comment: 15 pages, no figur
Superstrings and Topological Strings at Large N
We embed the large N Chern-Simons/topological string duality in ordinary
superstrings. This corresponds to a large duality between generalized gauge
systems with N=1 supersymmetry in 4 dimensions and superstrings propagating on
non-compact Calabi-Yau manifolds with certain fluxes turned on. We also show
that in a particular limit of the N=1 gauge theory system, certain
superpotential terms in the N=1 system (including deformations if spacetime is
non-commutative) are captured to all orders in 1/N by the amplitudes of
non-critical bosonic strings propagating on a circle with self-dual radius. We
also consider D-brane/anti-D-brane system wrapped over vanishing cycles of
compact Calabi-Yau manifolds and argue that at large they induce a shift in
the background to a topologically distinct Calabi-Yau, which we identify as the
ground state system of the Brane/anti-Brane system.Comment: 30 pages, some minor clarifications adde
D-instanton sums for matter hypermultiplets
We calculate some non-perturbative (D-instanton) quantum corrections to the
moduli space metric of several (n>1) identical matter hypermultiplets for the
type-IIA superstrings compactified on a Calabi-Yau threefold, near conifold
singularities. We find a non-trivial deformation of the (real) 4n-dimensional
hypermultiplet moduli space metric due to the infinite number of D-instantons,
under the assumption of n tri-holomorphic commuting isometries of the metric,
in the hyper-K"ahler limit (i.e. in the absence of gravitational corrections).Comment: 11 pages, no figure
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