82 research outputs found
Towards Realistic String Vacua From Branes At Singularities
We report on progress towards constructing string models incorporating both
realistic D-brane matter content and moduli stabilisation with dynamical
low-scale supersymmetry breaking. The general framework is that of local
D-brane models embedded into the LARGE volume approach to moduli stabilisation.
We review quiver theories on del Pezzo () singularities including
both D3 and D7 branes. We provide supersymmetric examples with three
quark/lepton families and the gauge symmetries of the Standard, Left-Right
Symmetric, Pati-Salam and Trinification models, without unwanted chiral
exotics. We describe how the singularity structure leads to family symmetries
governing the Yukawa couplings which may give mass hierarchies among the
different generations. We outline how these models can be embedded into compact
Calabi-Yau compactifications with LARGE volume moduli stabilisation, and state
the minimal conditions for this to be possible. We study the general structure
of soft supersymmetry breaking. At the singularity all leading order
contributions to the soft terms (both gravity- and anomaly-mediation) vanish.
We enumerate subleading contributions and estimate their magnitude. We also
describe model-independent physical implications of this scenario. These
include the masses of anomalous and non-anomalous U(1)'s and the generic
existence of a new hyperweak force under which leptons and/or quarks could be
charged. We propose that such a gauge boson could be responsible for the ghost
muon anomaly recently found at the Tevatron's CDF detector.Comment: 40 pages, 10 figure
Moduli Stabilisation and de Sitter String Vacua from Magnetised D7 Branes
Anomalous U(1)'s are ubiquitous in 4D chiral string models. Their presence
crucially affects the process of moduli stabilisation and cannot be neglected
in realistic set-ups. Their net effect in the 4D effective action is to induce
a matter field dependence in the non-perturbative superpotential and a
Fayet-Iliopoulos D-term. We study flux compactifications of IIB string theory
in the presence of magnetised D7 branes. These give rise to anomalous U(1)'s
that modify the standard moduli stabilisation procedure. We consider simple
orientifold models to determine the matter field spectrum and the form of the
effective field theory. We apply our results to one-modulus KKLT and
multi-moduli large volume scenarios, in particular to the Calabi-Yau
P^4_{[1,1,1,6,9]}. After stabilising the matter fields, the effective action
for the Kahler moduli can acquire an extra positive term that can be used for
de Sitter lifting with non-vanishing F- and D-terms. This provides an explicit
realization of the D-term lifting proposal of hep-th/0309187.Comment: 35 pages, 1 figure. v2: Minor changes, references adde
Distribution of Flux Vacua around Singular Points in Calabi-Yau Moduli Space
We study the distribution of type IIB flux vacua in the moduli space near
various singular loci, e.g. conifolds, ADE singularities on P1, Argyres-Douglas
point etc, using the Ashok- Douglas density det(R + omega). We find that the
vacuum density is integrable around each of them, irrespective of the type of
the singularities. We study in detail an explicit example of an Argyres-Douglas
point embedded in a compact Calabi-Yau manifold.Comment: 27 pages, 1 figure; v2: minor change, references added ; v3:
references added, published versio
String theoretic QCD axion with stabilized saxion and the pattern of supersymmetry breaking
String theoretic axion is a prime candidate for the QCD axion solving the
strong CP problem. For a successful realization of the QCD axion in string
theory, one needs to stabilize moduli including the scalar partner (saxion) of
the QCD axion, while keeping the QCD axion unfixed until the low energy QCD
instanton effects are turned on. We note that a simple generalization of KKLT
moduli stabilization provides such set-up realizing the axion solution to the
strong CP problem. Although some details of moduli stabilization are different
from the original KKLT scenario, this set-up leads to the mirage mediation
pattern of soft SUSY breaking terms as in the KKLT case, preserving flavor and
CP as a consequence of approximate scaling and axionic shift symmetries. The
set-up also gives an interesting pattern of moduli masses which might avoid the
cosmological moduli, gravitino and axion problems.Comment: JHEP style, 21 pages, 3 figures; typos correcte
Towards a Realistic Type IIA T^6/Z_4 Orientifold Model with Background Fluxes, Part 1: Moduli Stabilization
We apply the methods of DeWolfe et al. [hep-th/0505160] to a T^6/Z_4
orientifold model. This is the first step in an attempt to build a
phenomenologically interesting meta-stable de Sitter model with small
cosmological constant and standard model gauge groups.Comment: 1+30 pages, 2 figures, LaTeX, v2: minor corrections, stability
analysis of b_a moduli added, refs added, version accepted for publication in
JHE
Nonrenormalization of Flux Superpotentials in String Theory
Recent progress in understanding modulus stabilization in string theory
relies on the existence of a non-renormalization theorem for the 4D
compactifications of Type IIB supergravity which preserve N=1 supersymmetry. We
provide a simple proof of this non-renormalization theorem for a broad class of
Type IIB vacua using the known symmetries of these compactifications, thereby
putting them on a similar footing as the better-known non-renormalization
theorems of heterotic vacua without fluxes. The explicit dependence of the
tree-level flux superpotential on the dilaton field makes the proof more subtle
than in the absence of fluxes.Comment: 16 pages, no figures. Final version, to appear in JHEP. Arguments for
validity of R-symmetry made more explicit. Minor extra comments and
references adde
One in a Billion: MSSM-like D-Brane Statistics
Continuing our recent work hep-th/0411173, we study the statistics of
four-dimensional, supersymmetric intersecting D-brane models in a toroidal
orientifold background. We have performed a vast computer survey of solutions
to the stringy consistency conditions and present their statistical
implications with special emphasis on the frequency of Standard Model features.
Among the topics we discuss are the implications of the K-theory constraints,
statistical correlations among physical quantities and an investigation of the
various statistical suppression factors arising once certain Standard Model
features are required. We estimate the frequency of an MSSM like gauge group
with three generations to be one in a billion.Comment: 36 pages, 12 figures; v2: typos corrected, one ref. added; v3: minor
changes, version to appear in JHE
Surveying Standard Model Flux Vacua on
We consider the SU(2)LxSU(2)R Standard Model brane embedding in an
orientifold of T6/Z2xZ2. Within defined limits, we construct all such Standard
Model brane embeddings and determine the relative number of flux vacua for each
construction. Supersymmetry preserving brane recombination in the hidden sector
enables us to identify many solutions with high flux. We discuss in detail the
phenomenology of one model which is likely to dominate the counting of vacua.
While Kahler moduli stabilization remains to be fully understood, we define the
criteria necessary for generic constructions to have fixed moduli.Comment: 30 pages, LaTeX, v2: added reference
The Generalized Green-Schwarz Mechanism for Type IIB Orientifolds with D3- and D7-Branes
In this paper, we work out in detail the tadpole cancellation conditions as
well as the generalized Green-Schwarz mechanism for type IIB orientifold
compactifications with D3- and D7-branes. We find that not only the well-known
D3- and D7-tadpole conditions have to be satisfied, but in general also the
vanishing of the induced D5-brane charges leads to a non-trivial constraint. In
fact, for the case the latter condition is important for
the cancellation of chiral anomalies. We also extend our analysis by including
D9- as well as D5-branes and determine the rules for computing the chiral
spectrum of the combined system.Comment: 33+7 pages; 2 figures; v2: references added; v3: published versio
Calabi-Yau Duals of Torus Orientifolds
We study a duality that relates the T^6/Z_2 orientifold with N=2 flux to
standard fluxless Calabi-Yau compactifications of type IIA string theory. Using
the duality map, we show that the Calabi-Yau manifolds that arise are abelian
surface (T^4) fibrations over P^1. We compute a variety of properties of these
threefolds, including Hodge numbers, intersection numbers, discrete isometries,
and H_1(X,Z). In addition, we show that S-duality in the orientifold
description becomes T-duality of the abelian surface fibers in the dual
Calabi-Yau description. The analysis is facilitated by the existence of an
explicit Calabi-Yau metric on an open subset of the geometry that becomes an
arbitrarily good approximation to the actual metric (at most points) in the
limit that the fiber is much smaller than the base.Comment: 39 pages; uses harvmac.tex, amssym.tex; v4: minor correction
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