371 research outputs found
Unstable solitons on noncommutative tori and D-branes
We describe a class of exact solutions of super Yang-Mills theory on
even-dimensional noncommutative tori. These solutions generalize the solitons
on a noncommutative plane introduced in hep-th/0009142 that are conjectured to
describe unstable D2p-D0 systems. We show that the spectrum of quadratic
fluctuations around our solutions correctly reproduces the string spectrum of
the D2p-D0 system in the Seiberg-Witten decoupling limit. In particular the
fluctuations correctly reproduce the 0-0 string winding modes. For p=1 and p=2
we match the differences between the soliton energy and the energy of an
appropriate SYM BPS state with the binding energies of D2-D0 and D4-D0 systems.
We also give an example of a soliton that we conjecture describes branes of
intermediate dimension on a torus such as a D2-D4 system on a four-torus.Comment: 22 pages, Latex; v.2: references adde
The effect of extra dimensions on gravity wave bursts from cosmic string cusps
We explore the kinematical effect of having extra dimensions on the gravity
wave emission from cosmic strings. Additional dimensions both round off cusps,
and reduce the probability of their formation. We recompute the gravity wave
burst, taking into account these two factors, and find a potentially
significant damping on the gravity waves of the strings.Comment: 33 pages, 8 figures, published versio
Adiabatic and Isocurvature Perturbations for Multifield Generalized Einstein Models
Low energy effective field theories motivated by string theory will likely
contain several scalar moduli fields which will be relevant to early Universe
cosmology. Some of these fields are expected to couple with non-standard
kinetic terms to gravity. In this paper, we study the splitting into adiabatic
and isocurvature perturbations for a model with two scalar fields, one of which
has a non-standard kinetic term in the Einstein-frame action. Such actions can
arise, e.g., in the Pre-Big-Bang and Ekpyrotic scenarios. The presence of a
non-standard kinetic term induces a new coupling between adiabatic and
isocurvature perturbations which is non-vanishing when the potential for the
matter fields is nonzero. This coupling is un-suppressed in the long wavelength
limit and thus can lead to an important transfer of power from the entropy to
the adiabatic mode on super-Hubble scales. We apply the formalism to the case
of a previously found exact solution with an exponential potential and study
the resulting mixing of adiabatic and isocurvature fluctuations in this
example. We also discuss the possible relevance of the extra coupling in the
perturbation equations for the process of generating an adiabatic component of
the fluctuations spectrum from isocurvature perturbations without considering a
later decay of the isocurvature component.Comment: 11 pages, 3 figures, one equation corrected, typos fixed, conclusions
unchange
Dynamics and perturbations in assisted chaotic inflation
On compactification from higher dimensions, a single free massive scalar
field gives rise to a set of effective four-dimensional scalar fields, each
with a different mass. These can cooperate to drive a period of inflation known
as assisted inflation. We analyze the dynamics of the simplest implementation
of this idea, paying particular attention to the decoupling of fields from the
slow-roll regime as inflation proceeds. Unlike normal models of inflation, the
dynamics does not become independent of the initial conditions at late times.
In particular, we estimate the density perturbations obtained, which retain a
memory of the initial conditions even though a homogeneous, spatially-flat
Universe is generated.Comment: 10 pages, revtex, 2 figure
Generalised Israel Junction Conditions for a Gauss-Bonnet Brane World
In spacetimes of dimension greater than four it is natural to consider higher
order (in R) corrections to the Einstein equations. In this letter generalized
Israel junction conditions for a membrane in such a theory are derived. This is
achieved by generalising the Gibbons-Hawking boundary term. The junction
conditions are applied to simple brane world models, and are compared to the
many contradictory results in the literature.Comment: 4 page
Brane cosmological perturbations
We address the question of cosmological perturbations in the context of brane
cosmology, where our Universe is a three-brane where matter is confined,
whereas gravity lives in a higher dimensional spacetime. The equations
governing the bulk perturbations are computed in the case of a general warped
universe. The results are then specialized to the case of a five-dimensional
spacetime, scenario which has recently attracted a lot of attention. In this
context, we decompose the perturbations into `scalar', `vector' and `tensor'
modes, which are familiar in the standard theory of cosmological perturbations.
The junction conditions, which relate the metric perturbations to the matter
perturbations in the brane, are then computed.Comment: 14 pages, Latex; no figur
Strings in the Extended BTZ Spacetime
We study string theory on the extended spacetime of the BTZ black hole, as
described by an orbifold of the SL(2,R) WZW model. The full spacetime has an
infinite number of disconnected boundary components, each corresponding to a
dual CFT. We discuss the computation of bulk and boundary correlation functions
for operators inserted on different components. String theory correlation
functions are obtained by analytic continuation from an orbifold of the
SL(2,C)/SU(2) coset model. This yields two-point functions for general
operators, including those describing strings that wind around the horizon of
the black hole.Comment: 35 pages, harvmac, 5 eps figures, uses epsf.tex. (v2): Extended
discussion in section 3.1, typo corrections, references adde
Very Long Time Scales and Black Hole Thermal Equilibrium
We estimate the very long time behaviour of correlation functions in the
presence of eternal black holes. It was pointed out by Maldacena (hep-th
0106112) that their vanishing would lead to a violation of a unitarity-based
bound. The value of the bound is obtained from the holographic dual field
theory. The correlators indeed vanish in a semiclassical bulk approximation. We
trace the origin of their vanishing to the continuum energy spectrum in the
presence of event horizons. We elaborate on the two very long time scales
involved: one associated with the black hole and the other with a thermal gas
in the vacuum background. We find that assigning a role to the thermal gas
background, as suggested in the above work, does restore the compliance with a
time-averaged unitarity bound. We also find that additional configurations are
needed to explain the expected time dependence of the Poincar\'e recurrences
and their magnitude. It is suggested that, while a semiclassical black hole
does reproduce faithfully ``coarse grained'' properties of the system,
additional dynamical features of the horizon may be necessary to resolve a
finer grained information-loss problem. In particular, an effectively formed
stretched horizon could yield the desired results.Comment: 30 pages, harvmac, 1 eps figur
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