152 research outputs found
Hawking Radiation from AdS Black Holes
We investigate Hawking radiation from black holes in (d+1)-dimensional
anti-de Sitter space. We focus on s-waves, make use of the geometrical optics
approximation, and follow three approaches to analyze the radiation. First, we
compute a Bogoliubov transformation between Kruskal and asymptotic coordinates
and compare the different vacua. Second, following a method due to Kraus,
Parikh, and Wilczek, we view Hawking radiation as a tunneling process across
the horizon and compute the tunneling probablility. This approach uses an
anti-de Sitter version of a metric originally introduced by Painleve for
Schwarzschild black holes. From the tunneling probability one also finds a
leading correction to the semi-classical emission rate arising from the
backreaction to the background geometry. Finally, we consider a spherically
symmetric collapse geometry and the Bogoliubov transformation between the
initial vacuum state and the vacuum of an asymptotic observer.Comment: 13 pages, latex2e, v2: some clarifications and references adde
Cohomological Partition Functions for a Class of Bosonic Theories
We argue, that for a general class of nontrivial bosonic theories the path
integral can be related to an equivariant generalization of conventional
characteristic classes.Comment: 9 pages; standard LATEX fil
ABJM with Flavors and FQHE
We add fundamental matters to the N=6 Chern-Simons theory (ABJM theory), and
show that D6-branes wrapped over AdS_4 x S^3/Z_2 in type IIA superstring theory
on AdS_4 x CP^3 give its dual description with N=3 supersymmetry. We confirm
this by the arguments based on R-symmetry, supersymmetry, and brane
configuration of ABJM theory. We also analyze the fluctuations of the D6-brane
and compute the conformal dimensions of dual operators. In the presence of
fractional branes, the ABJM theory can model the fractional quantum Hall effect
(FQHE), with RR-fields regarded as the external electric-magnetic field. We
show that an addition of the flavor D6-brane describes a class of fractional
quantum Hall plateau transition.Comment: 23 pages, Latex, no figures; (v2) references added, typos correcte
Quantum Hall Effect in a Holographic Model
We consider a holographic description of a system of strongly coupled
fermions in 2+1 dimensions based on a D7-brane probe in the background of
D3-branes, and construct stable embeddings by turning on worldvolume fluxes. We
study the system at finite temperature and charge density, and in the presence
of a background magnetic field. We show that Minkowski-like embeddings that
terminate above the horizon describe a family of quantum Hall states with
filling fractions that are parameterized by a single discrete parameter. The
quantization of the Hall conductivity is a direct consequence of the
topological quantization of the fluxes. When the magnetic field is varied
relative to the charge density away from these discrete filling fractions, the
embeddings deform continuously into black-hole-like embeddings that enter the
horizon and that describe metallic states. We also study the thermodynamics of
this system and show that there is a first order phase transition at a critical
temperature from the quantum Hall state to the metallic state.Comment: v2: 27 pages, 12 figures. There is a major revision in the
quantitative analysis. The qualitative results and conclusions are unchanged,
with one exception: we show that the quantum Hall state embeddings, which
exist for discrete values of the filling fraction, deform continuously into
metallic state embeddings away from these filling fraction
Torsion and the Gravity Dual of Parity Symmetry Breaking in AdS4/CFT3 Holography
We study four dimensional gravity with a negative cosmological constant
deformed by the Nieh-Yan torsional topological invariant with a
spacetime-dependent coefficient. We find an exact solution of the Euclidean
system, which we call the torsion vortex, having two asymptotic AdS4 regimes
supported by a pseudoscalar with a kink profile. We propose that the torsion
vortex is the holographic dual of a three dimensional system that exhibits
distinct parity breaking vacua. The torsion vortex represents a (holographic)
transition between these distinct vacua. We expect that from the boundary point
of view, the torsion vortex represents a `domain wall' between the two distinct
vacua.
From a bulk point of view, we point out an intriguing identification of the
parameters of the torsion vortex with those of an Abrikosov vortex in a Type I
superconductor. Following the analogy, we find that external Kalb-Ramond flux
then appears to support bubbles of flat spacetime within an asymptotically AdS
geometry.Comment: 26 pages, 4 figures; v2: minor improvements, references adde
Thermalization of Strongly Coupled Field Theories
Using the holographic mapping to a gravity dual, we calculate 2-point functions, Wilson loops, and entanglement entropy in strongly coupled field theories in d = 2, 3, and 4 to probe the scale dependence of thermalization following a sudden injection of energy. For homogeneous initial conditions, the entanglement entropy thermalizes slowest and sets a time scale for equilibration that saturates a causality bound. The growth rate of entanglement entropy density is nearly volume-independent for small volumes but slows for larger volumes. In this setting, the UV thermalizes first
Effective Action for Membrane Dynamics in DLCQ theory on a Two-torus
The effective action for the membrane dynamics on the background geometry of
the -sector DLCQ theory compactified on a two-torus is computed via
supergravity. We compare it to the effective action obtained from the matrix
theory, i.e., the (2+1)-dimensional supersymmetric Yang-Mills (SYM) theory,
including the one-loop perturbative and full non-perturbative instanton
effects. Consistent with the DLCQ prescription of theory {\em a la}
Susskind, we find the precise agreement for the finite -sector
(off-conformal regime), as well as for the large limit (conformal regime),
providing us with a concrete example of the correspondence between the matrix
theory and the DLCQ theory. Non-perturbative instanton effects in the SYM
theory conspire to yield the eleven-dimensionally covariant effective action.Comment: 11 pages, latex, no figure
A Multi-Boundary AdS Orbifold and DLCQ Holography: A universal holographic description of extremal black hole horizons
We examine a stationary but non-static asymptotically AdS_3 spacetime with
two causally connected conformal boundaries, each of which is a ``null
cylinder'', namely a cylinder with a null direction identified. This spacetime
arises from three different perspectives: (i) as a non-singular, causally
regular orbifold of global AdS_3 by boosts, (ii) as a Penrose-like limit
focusing on the horizon of extremal BTZ black holes, and (iii) as an S^1
fibration over AdS_2. Each of these perspectives sheds an interesting light on
holography. Examination of the conformal boundary of the spacetime shows that
the dual to the space should involve DLCQ limits of the D1-D5 conformal field
theory. The Penrose-like limit approach leads to a similar conclusion, by
isolating a sector of the complete D1-D5 CFT that describes the physics in the
vicinity of the horizon of an extremal black hole. As such this is a
holographic description of the universal horizon dynamics of the extremal black
holes in AdS_3 and also of the four and five dimensional stringy black holes
whose states were counted in string theory. The AdS_2 perspective draws a
connection to a 0+1d quantum mechanical theory. Various dualities lead to a
Matrix model description of the spacetime. Many interesting issues that are
related to both de Sitter physics and attempts to ``see behind a horizon''
using AdS/CFT arise from (a) the presence of two disconnected components to the
boundary, and (b) the analytic structure of bulk physics in the complex
coordinate plane.Comment: 48 pages. 3 EPS figures. If you use mpage to print multiple
postscript pages on the same sheet of paper you may have difficulties with
the figures. The PDF version will print fine, as will postscript if you stick
to one page per sheet. v3: minor edits and references adde
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