509 research outputs found
A Class of N=1 Dual String Pairs and its Modular Superpotential
We compare the N=1 F-theory compactification of Donagi, Grassi and Witten
with modular superpotential - and some closely related models - to dual
heterotic models. We read of the F-theory spectrum from the cohomology of the
fourfold and discuss on the heterotic side the gauge bundle moduli sector
(including the spectral surface) and the necessary fivebranes. Then we consider
the N=1 superpotential and show how a heterotic superpotential matching the
F-theory computation is built up by worldsheet instantons. Finally we discuss
how the original modular superpotential should be corrected by an additional
modular correction factor, which on the F-theory side matches nicely with a
`curve counting function' for the del Pezzo surface. On the heterotic side we
derive the same factor demanding correct T-duality transformation properties of
the superpotential.Comment: 18 pages, Late
N=1 effective potential from dual type-IIA D6/O6 orientifolds with general fluxes
We consider N=1 compactifications of the type-IIA theory on the T6/(Z2xZ2)
orbifold and O6 orientifold, in the presence of D6-branes and general NSNS, RR
and Scherk-Schwarz geometrical fluxes. Introducing a suitable dual formulation
of the theory, we derive and solve the Bianchi identities, and show how certain
combinations of fluxes can relax the constraints on D6-brane configurations
coming from the cancellation of RR tadpoles. We then compute, via generalized
dimensional reduction, the N=1, D=4 effective potential for the seven main
moduli, and comment on the relation with truncated N=4 gaugings. As a
byproduct, we obtain a general geometrical expression for the superpotential.
We finally identify a family of fluxes, compatible with all Bianchi identities,
that perturbatively stabilize all seven moduli in supersymmetric AdS4.Comment: 19 pages, no figures, JHEP3 LaTeX. Published versio
Flux compactification on smooth, compact three-dimensional toric varieties
Three-dimensional smooth, compact toric varieties (SCTV), when viewed as real
six-dimensional manifolds, can admit G-structures rendering them suitable for
internal manifolds in supersymmetric flux compactifications. We develop
techniques which allow us to systematically construct G-structures on SCTV and
read off their torsion classes. We illustrate our methods with explicit
examples, one of which consists of an infinite class of toric CP^1 bundles. We
give a self-contained review of the relevant concepts from toric geometry, in
particular the subject of the classification of SCTV in dimensions less or
equal to 3. Our results open up the possibility for a systematic construction
and study of supersymmetric flux vacua based on SCTV.Comment: 27 pages, 10 figures; v2: references, minor typos & improvement
On supersymmetric Minkowski vacua in IIB orientifolds
Supersymmetric Minkowski vacua in IIB orientifold compactifications based on
orbifolds with background fluxes and non-perturbative superpotentials are
investigated. Especially, microscopic requirements and difficulties to obtain
such vacua are discussed. We show that orbifold models with one and two complex
structure moduli and supersymmetric 2-form flux can be successfully stabilized
to such vacua. By taking additional gaugino condensation on fixed space-time
filling D3-branes into account also models without complex structure can be
consistently stabilized to Minkowski vacua.Comment: 17 pages, 2 figures; More detailed proof for absence of complex flat
directions in susy AdS vacua given; Footnotes and reference adde
FCNC Processes from D-brane Instantons
Low string scale models might be tested at the LHC directly by their Regge
resonances. For such models it is important to investigate the constraints of
Standard Model precision measurements on the string scale. It is shown that
highly suppressed FCNC processes like K0- bar K^0 oscillations or leptonic
decays of the D0-meson provide non-negligible lower bounds on both the
perturbatively and surprisingly also non-perturbatively induced string theory
couplings. We present both the D-brane instanton formalism to compute such
amplitudes and discuss various possible scenarios and their constraints on the
string scale for (softly broken) supersymmetric intersecting D-brane models.Comment: 28 pages, 13 figures, reference added, 1 typo corrected, style file
adde
Intersecting Brane Worlds at One Loop
We develop techniques for one-loop diagrams on intersecting branes. The
one-loop propagator of chiral intersection states on D6 branes is calculated
exactly and its finiteness is shown to be guaranteed by RR tadpole
cancellation. The result is used to demonstrate the expected softening of power
law running of Yukawa couplings at the string scale. We also develop methods to
calculate arbitrary N-point functions at one-loop, including those without
gauge bosons in the loop. These techniques are also applicable to heterotic
orbifold models.Comment: 35 pages, 3 figures; added reference, corrected typos, JHEP styl
Diversity in the Tail of the Intersecting Brane Landscape
Techniques are developed for exploring the complete space of intersecting
brane models on an orientifold. The classification of all solutions for the
widely-studied T^6/Z_2 x Z_2 orientifold is made possible by computing all
combinations of branes with negative tadpole contributions. This provides the
necessary information to systematically and efficiently identify all models in
this class with specific characteristics. In particular, all ways in which a
desired group G can be realized by a system of intersecting branes can be
enumerated in polynomial time. We identify all distinct brane realizations of
the gauge groups SU(3) x SU(2) and SU(3) x SU(2) x U(1) which can be embedded
in any model which is compatible with the tadpole and SUSY constraints. We
compute the distribution of the number of generations of "quarks" and find that
3 is neither suppressed nor particularly enhanced compared to other odd
generation numbers. The overall distribution of models is found to have a long
tail. Despite disproportionate suppression of models in the tail by K-theory
constraints, the tail in the distribution contains much of the diversity of
low-energy physics structure.Comment: 48 pages, 8 figure
Type IIA Orientifolds on General Supersymmetric Z_N Orbifolds
We construct Type IIA orientifolds for general supersymmetric Z_N orbifolds.
In particular, we provide the methods to deal with the non-factorisable
six-dimensional tori for the cases Z7, Z8, Z8', Z12 and Z12'. As an application
of these methods we explicitly construct many new orientifold models.Comment: 48 pages, LaTeX, 14 figures, refs. added, closed string spectra
slightly change
D3 Brane Action and Fermion Zero Modes in Presence of Background Flux
We derive the fermion bilinear terms in the world volume action for a D3
brane in the presence of background flux. In six-dimensional compactifications
non-perturbative corrections to the superpotential can arise from an Euclidean
D3-brane instanton wrapping a divisor in the internal space. The bilinear terms
give rise to fermion masses and are important in determining these corrections.
We find that the three-form flux generically breaks a U(1) subgroup of the
structure group of the normal bundle of the divisor. In an example of
compactification on T^6/Z_2, six of the sixteen zero modes originally present
are lifted by the flux.Comment: Important factor of ``i'' was overlooked in Euclidean continuation of
WZ term. This changes the count of zero-modes in the T^6/Z_2 example. Main
result stays unchanged. We thank Bergshoeff, Kallosh, Kashani-Poor, Sorokin
and Tomasiello for pointing this ou
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