3,585 research outputs found
Charged AdS Black Holes and Catastrophic Holography
We compute the properties of a class of charged black holes in anti-de Sitter
space-time, in diverse dimensions. These black holes are solutions of
consistent Einstein-Maxwell truncations of gauged supergravities, which are
shown to arise from the inclusion of rotation in the transverse space. We
uncover rich thermodynamic phase structures for these systems, which display
classic critical phenomena, including structures isomorphic to the van der
Waals-Maxwell liquid-gas system. In that case, the phases are controlled by the
universal `cusp' and `swallowtail' shapes familiar from catastrophe theory. All
of the thermodynamics is consistent with field theory interpretations via
holography, where the dual field theories can sometimes be found on the world
volumes of coincident rotating branes.Comment: 19 pages, revtex, psfig, 6 multicomponent figures, typos, references
and a few remarks have been repaired, and adde
A Maxwell-vector p-wave holographic superconductor in a particular background AdS black hole metric
We study the p-wave holographic superconductor for AdS black holes with
planar event horizon topology for a particular Lovelock gravity, in which the
action is characterized by a self-interacting scalar field nonminimally coupled
to the gravity theory which is labeled by an integer . As the Lovelock
theory of gravity is the most general metric theory of gravity based on the
fundamental assumptions of general relativity, it is a desirable theory to
describe the higher dimensional spacetime geometry. The present work is devoted
to studying the properties of the p-wave holographic superconductor by
including a Maxwell field which nonminimally couples to a complex vector field
in a higher dimensional background metric. In the probe limit, we find that the
critical temperature decreases with the increase of the index of the
background black hole metric, which shows that a larger makes it harder for
the condensation to form. We also observe that the index affects the
conductivity and the gap frequency of the holographic superconductors.Comment: 14 pages, 6 figure
On Stringy Thresholds in SYM/AdS Thermodynamics
We consider aspects of the role of stringy scales and Hagedorn temperatures
in the correspondence between various field theories and AdS-type spaces. The
boundary theory is set on a toroidal world-volume to enable small scales to
appear in the supergravity backgrounds also for low field-theory temperatures.
We find that thermodynamical considerations tend to favour background manifolds
with no string-size characteristic scales. The gravitational dynamics censors
the reliable exposure of Hagedorn physics on the supergravity side, and the
system does not allow the study of the Hagedorn scale by low-temperature field
theories. These results are obtained following some heuristic assumptions on
the character of stringy modifications to the gravitational backgrounds. A rich
phenomenology appears on the supergravity side, with different string
backgrounds dominating in different regions, which should have field-theoretic
consequences. Six-dimensional world volumes turn out to be borderline cases
from several points of view. For lower dimensional world-volumes, a fully
holographic behaviour is exhibited to order 1/N^2, and open strings in their
presence are found to have a thermodynamical Hagedorn behaviour similar to that
of closed strings in flat space.Comment: 49 pages, harvmac, seven Postscript figure
Mimicking the QCD equation of state with a dual black hole
We present numerical and analytical studies of the equation of state of
translationally invariant black hole solutions to five-dimensional gravity
coupled to a single scalar. As an application, we construct a family of black
holes that closely mimics the equation of state of quantum chromodynamics at
zero chemical potential.Comment: 25 pages, 7 figure
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