707 research outputs found
Counting fermionic zero modes on M5 with fluxes
We study the Dirac equation on an M5 brane wrapped on a divisor in a
Calabi--Yau fourfold in the presence of background flux. We reduce the
computation of the normal bundle U(1) anomaly to counting the solutions of a
finite--dimensional linear system on cohomology. This system depends on the
choice of flux. In an example, we find that the presence of flux changes the
anomaly and allows instanton corrections to the superpotential which would
otherwise be absent.Comment: 14 pages. v2: reference added, typos corrected, few change
An index for the Dirac operator on D3 branes with background fluxes
We study the problem of instanton generated superpotentials in Calabi-Yau
orientifold compactifications directly in type IIB string theory. To this end,
we derive the Dirac equation on a Euclidean D3 brane in the presence of
background fluxes. We propose an index which governs whether the generation of
a superpotential in the effective 4d theory by D3 brane instantons is possible.
Applying the formalism to various classes of examples, including the K3 x
T^2/Z_2 orientifold, in the absence and presence of fluxes, we show that our
results are consistent with conclusions attainable via duality from an M-theory
analysis.Comment: Fermion coupling to five-form restored, conclusions of the paper
unchange
Volume Stabilization via Corrections in Type IIB Theory with Fluxes
We consider the Type IIB string theory in the presence of various extra
-brane pairs compactified on a warped Calabi-Yau threefold that
admits a conifold singularity. We demonstrate that the volume modulus can be
stabilized perturbatively at a non-supersymmetric vacuum by the
effective potential that includes the stringy correction
obtained by Becker {\it et al.} together with a combination of positive tension
and anomalous negative tension terms generated by the additional
7-brane-antibrane pairs.Comment: 20 pages, 4 figures, parts of introduction and conclusions are
modifie
Black-Hole Attractors in N=1 Supergravity
We study the attractor mechanism for N=1 supergravity coupled to vector and
chiral multiplets and compute the attractor equations of these theories. These
equations may have solutions depending on the choice of the holomorphic
symmetric matrix f_{\Lambda\Sigma} which appears in the kinetic lagrangian of
the vector sector. Models with non trivial electric-magnetic duality group
which have or have not attractor behavior are exhibited. For a particular class
of models, based on an N=1 reduction of homogeneous special geometries, the
attractor equations are related to the theory of pure spinors.Comment: 25 pages, typos corrected, formulas adde
Realistic D-Brane Models on Warped Throats: Fluxes, Hierarchies and Moduli Stabilization
We describe the construction of string theory models with semirealistic
spectrum in a sector of (anti) D3-branes located at an orbifold singularity at
the bottom of a highly warped throat geometry, which is a generalisation of the
Klebanov-Strassler deformed conifold. These models realise the Randall-Sundrum
proposal to naturally generate the Planck/electroweak hierarchy in a concrete
string theory embedding, and yielding interesting chiral open string spectra.
We describe examples with Standard Model gauge group (or left-right symmetric
extensions) and three families of SM fermions, with correct quantum numbers
including hypercharge. The dilaton and complex structure moduli of the geometry
are stabilised by the 3-form fluxes required to build the throat. We describe
diverse issues concerning the stabilisation of geometric Kahler moduli, like
blow-up modes of the orbifold singularities, via D term potentials and gauge
theory non-perturbative effects, like gaugino condensation. This local
geometry, once embedded in a full compactification, could give rise to models
with all moduli stabilised, and with the potential to lead to de Sitter vacua.
Issues of gauge unification, proton stability, supersymmetry breaking and
Yukawa couplings are also discussed.Comment: 46 pages, 13 figures (figures 3 and 13 corrected
Large-Volume Flux Compactifications: Moduli Spectrum and D3/D7 Soft Supersymmetry Breaking
We present an explicit calculation of the spectrum of a general class of
string models, corresponding to Calabi-Yau flux compactifications with
h_{1,2}>h_{1,1}>1 with leading perturbative and non-perturbative corrections,
in which all geometric moduli are stabilised as in hep-th/0502058. The volume
is exponentially large, leading to a range of string scales from the Planck
mass to the TeV scale, realising for the first time the large extra dimensions
scenario in string theory. We provide a general analysis of the relevance of
perturbative and non-perturbative effects and the regime of validity of the
effective field theory. We compute the spectrum in the moduli sector finding a
hierarchy of masses depending on inverse powers of the volume. We also compute
soft supersymmetry breaking terms for particles living on D3 and D7 branes. We
find a hierarchy of soft terms corresponding to `volume dominated' F-term
supersymmetry breaking. F-terms for Kahler moduli dominate both those for
dilaton and complex structure moduli and D-terms or other de Sitter lifting
terms. This is the first class of string models in which soft supersymmetry
breaking terms are computed after fixing all geometric moduli. We outline
several possible applications of our results, both for cosmology and
phenomenology and point out the differences with the less generic KKLT vacua.Comment: 64 pages, 4 figures; v2. references added; v3. typos, reference
added, matches published versio
Axionic D3-D7 Inflation
We study the motion of a D3 brane moving within a Type IIB string vacuum
compactified to 4D on K3 x T_2/Z_2 in the presence of D7 and O7 planes. We work
within the effective 4D supergravity describing how the mobile D3 interacts
with the lightest bulk moduli of the compactification, including the effects of
modulus-stabilizing fluxes. We seek inflationary solutions to the resulting
equations, performing our search numerically in order to avoid resorting to
approximate parameterizations of the low-energy potential. We consider
uplifting from D-terms and from the supersymmetry-breaking effects of anti-D3
branes. We find examples of slow-roll inflation (with anti-brane uplifting)
with the mobile D3 moving along the toroidal directions, falling towards a
D7-O7 stack starting from the antipodal point. The inflaton turns out to be a
linear combination of the brane position and the axionic partner of the K3
volume modulus, and the similarity of the potential along the inflaton
direction with that of racetrack inflation leads to the prediction n_s \le 0.95
for the spectral index. The slow roll is insensitive to most of the features of
the effective superpotential, and requires a one-in-10^4 tuning to ensure that
the torus is close to square in shape. We also consider D-term inflation with
the D3 close to the attractive D7, but find that for a broad (but not
exhaustive) class of parameters the conditions for slow roll tend to
destabilize the bulk moduli. In contrast to the axionic case, the best
inflationary example of this kind requires the delicate adjustment of potential
parameters (much more than the part-per-mille level), and gives inflation only
at an inflection point of the potential (and so suffers from additional
fine-tuning of initial conditions to avoid an overshoot problem).Comment: 29 pages, 5 figure
An Inflationary Model in String Theory
We construct a model of inflation in string theory after carefully taking
into account moduli stabilization. The setting is a warped compactification of
Type IIB string theory in the presence of D3 and anti-D3-branes. The inflaton
is the position of a D3-brane in the internal space. By suitably adjusting
fluxes and the location of symmetrically placed anti-D3-branes, we show that at
a point of enhanced symmetry, the inflaton potential V can have a broad
maximum, satisfying the condition V''/V << 1 in Planck units. On starting close
to the top of this potential the slow-roll conditions can be met. Observational
constraints impose significant restrictions. As a first pass we show that these
can be satisfied and determine the important scales in the compactification to
within an order of magnitude. One robust feature is that the scale of inflation
is low, H = O(10^{10}) GeV. Removing the observational constraints makes it
much easier to construct a slow-roll inflationary model. Generalizations and
consequences including the possibility of eternal inflation are also discussed.
A more careful study, including explicit constructions of the model in string
theory, is left for the future.Comment: 27 pages, LaTeX, 1 eps figure. v2: references adde
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Effect of wind speed on aerosol optical depth over remote oceans, based on data from the Maritime Aerosol Network
The Maritime Aerosol Network (MAN) has been collecting data over the oceans since November 2006. The MAN archive provides a valuable resource for aerosol studies in maritime environments. In the current paper we investigate correlations between ship-borne aerosol optical depth (AOD) and near-surface wind speed, either measured (onboard or from satellite) or modeled (NCEP). According to our analysis, wind speed influences columnar aerosol optical depth, although the slope of the linear regression between AOD and wind speed is not steep (~0.004â0.005), even for strong winds over 10 m sâ1. The relationships show significant scatter (correlation coefficients typically in the range 0.3â0.5); the majority of this scatter can be explained by the uncertainty on the input data. The various wind speed sources considered yield similar patterns. Results are in good agreement with the majority of previously published relationships between surface wind speed and ship-based or satellite-based AOD measurements. The basic relationships are similar for all the wind speed sources considered; however, the gradient of the relationship varies by around a factor of two depending on the wind data used
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