1,752 research outputs found
De Sitter Waves and the Zero Curvature Limit
We show that a particular set of global modes for the massive de Sitter
scalar field (the de Sitter waves) allows to manage the group representations
and the Fourier transform in the flat (Minkowskian) limit. This is in
opposition to the usual acceptance based on a previous result, suggesting the
appearance of negative energy in the limit process. This method also confirms
that the Euclidean vacuum, in de Sitter spacetime, has to be preferred as far
as one wishes to recover ordinary QFT in the flat limit.Comment: 9 pages, latex no figure, to appear in Phys. Rev.
A matrix model black hole: act II
In this paper we discuss the connection between the deformed matrix model and
two dimensional black holes in the light of the new developements involving
fermionic type 0A-string theory. We argue that many of the old results can be
carried over to this new setting and that the original claims about the
deformed matrix model are essentially correct. We show the agreement between
correlation functions calculated using continuum and matrix model techniques.
We also explain how detailed properties of the space time metric of the
extremal black hole of type 0A are reflected in the deformed matrix model.Comment: 17 pages, version 2: minor typos correcte
Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes
We obtain exact expressions for the quasi-normal modes of various spin for
the BTZ black hole. These modes determine the relaxation time of black hole
perturbations. Exact agreement is found between the quasi-normal frequencies
and the location of the poles of the retarded correlation function of the
corresponding perturbations in the dual conformal field theory. This then
provides a new quantitative test of the AdS/CFT correspondence.Comment: 4 pages, RevTeX, references adde
Building blocks of a black hole
What is the nature of the energy spectrum of a black hole ? The algebraic
approach to black hole quantization requires the horizon area eigenvalues to be
equally spaced. As stressed long ago by by Mukhanov, such eigenvalues must be
exponentially degenerate with respect to the area quantum number if one is to
understand black hole entropy as reflecting degeneracy of the observable
states. Here we construct the black hole states by means of a pair of "creation
operators" subject to a particular simple algebra, a slight generalization of
that for the harmonic oscillator. We then prove rigorously that the n-th area
eigenvalue is exactly 2 raised to the n-fold degenerate. Thus black hole
entropy qua logarithm of the number of states for fixed horizon area comes out
proportional to that area.Comment: PhysRevTeX, 14 page
(Anti-)Brane backreaction beyond perturbation theory
We improve on the understanding of the backreaction of anti-D6-branes in a
flux background that is mutually BPS with D6-branes. This setup is analogous to
the study of the backreaction of anti-D3-branes inserted in the KS throat, but
does not require us to smear the anti-branes or do a perturbative analysis
around the BPS background. We solve the full equations of motion near the
anti-D6-branes and show that only two boundary conditions are consistent with
the equations of motion. Upon invoking a topological argument we eliminate the
boundary condition with regular H flux since it cannot lead to a solution that
approaches the right kind of flux away from the anti-D6-brane. This leaves us
with a boundary condition which has singular, but integrable, H flux energy
density.Comment: 12 pages + appendices, 1 figure; v2: minor changes, version published
in JHE
Black hole collision with a scalar particle in three dimensional anti-de Sitter spacetime
We study the collision between a BTZ black hole and a test particle coupled
to a scalar field. We compute the power spectrum, the energy radiated and the
plunging waveforms for this process. We show that for late times the signal is
dominated by the quasinormal ringing. In terms of the AdS/CFT correspondence
the bulk gravity process maps into a thermal state, an expanding bubble and
gauge particles decaying into bosons of the associated operator. These latter
thermalize in a timescale predicted by the bulk theory.Comment: 5 pages, 3 figures;minor improvements; references adde
Stability Constraints on Classical de Sitter Vacua
We present further no-go theorems for classical de Sitter vacua in Type II
string theory, i.e., de Sitter constructions that do not invoke
non-perturbative effects or explicit supersymmetry breaking localized sources.
By analyzing the stability of the 4D potential arising from compactification on
manfiolds with curvature, fluxes, and orientifold planes, we found that
additional ingredients, beyond the minimal ones presented so far, are necessary
to avoid the presence of unstable modes. We enumerate the minimal setups for
(meta)stable de Sitter vacua to arise in this context.Comment: 18 pages; v2: argument improved, references adde
Vacuum Ambiguity in de Sitter Space at Strong Coupling
It is well known that in the weak coupling regime, quantum field theories in
de Sitter space do not have a unique vacuum, but a class of vacua parametrized
by a complex parameter , i.e., the so-called -vacua. In this
article, using gauge/gravity duality, we calculate the symmetric two-point
function of strongly coupled supersymmetric Yang-Mills theory on
. We find that there is a class of de Sitter invariant vacua,
parametrized by a set of complex parameters .Comment: 17 pages in JHEP style, references adde
Lectures on string theory and cosmology
In these lectures I review recent attempts to apply string theory to
cosmology, including string cosmology and various models of brane cosmology. In
addition, the review includes an introduction to inflation as well as a
discussion of transplanckian signatures. I also provide a critical discussion
of the possible role of holography. The material is based on lectures given in
January 2004 at the RTN String School in Barcelona, but also contain some
additional material.Comment: Lectures given in January 2004 at the RTN Barcelona String School, 50
pages, 9 figure
Spin chains and string theory
Recently, an impressive agreement was found between anomalous dimensions of
certain operators in N=4 SYM and rotating strings with two angular momenta in
the bulk of AdS5xS5. A one-loop field theory computation, which involves
solving a Heisenberg chain by means of the Bethe ansatz agrees with the large
angular momentum limit of a rotating string. We point out that the Heisenberg
chain can be equally well solved by using a sigma model approach. Moreover we
also show that a certain limit, akin to the BMN limit, leads exactly to the
same sigma model for a string rotating with large angular momentum. The
agreement is then at the level of the action. As an upshot we propose that the
rotating string should be identified with a coherent, semi-classical state
built out of the eigenstates of the spin chain. The agreement is then complete.
For example we show that the mean value of the spin gives, precisely, the
position of the string in the bulk. This suggests a more precise formulation of
the AdS/CFT correspondence in the large-N limit and also indicates a way to
obtain string theory duals of other gauge theories.Comment: 16 pages. LaTeX. v2: References and some comments added. v3:
References to more recent work adde
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