59 research outputs found
Instanton effects in N=1 brane models and the Kahler metric of twisted matter
We consider locally consistent systems of magnetized D9 branes on an
orbifolded six-torus which support N=1 gauge theories. In such realizations,
the matter multiplets arise from "twisted" strings connecting different stacks
of branes. The introduction of Euclidean 5 branes (E5) wrapped on the
six-dimensional compact space leads to instanton effects. For instance, if the
system is engineered so as to yield SQCD, a single E5 brane may account for the
ADS/TVY superpotential. We discuss the subtle interplay that exists between the
annuli diagrams with an E5 boundary and the holomorphicity properties of the
effective low-energy action of the N=1 theory. The consistency of this picture
allows to obtain information on the Kahler metric of the chiral matter
multiplets arising from twisted strings.Comment: 33 pages, 4 figures. V2: improved discussion, clarifyng comments and
references added. Version to be published in JHE
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
Instantons in N=2 magnetized D-brane worlds
In a toroidal orbifold of type IIB string theory we study instanton effects
in N=2 super Yang-Mills theories engineered with systems of wrapped magnetized
D9 branes and Euclidean D5 branes. We analyze the various open string sectors
in this brane system and study the 1-loop amplitudes described by annulus
diagrams with mixed boundary conditions, explaining their role in the stringy
instanton calculus. We show in particular that the non-holomorphic terms in
these annulus amplitudes precisely reconstruct the appropriate Kahler metric
factors that are needed to write the instanton correlators in terms of purely
holomorphic variables. We also explicitly derive the correct holomorphic
structure of the instanton induced low energy effective action in the Coulomb
branch.Comment: 40 pages, 5 figures, JHEP class. Some footnotes added and typos
corrected. Version published in JHE
Axions In String Theory
In the context of string theory, axions appear to provide the most plausible
solution of the strong CP problem. However, as has been known for a long time,
in many string-based models, the axion coupling parameter F_a is several orders
of magnitude higher than the standard cosmological bounds. We re-examine this
problem in a variety of models, showing that F_a is close to the GUT scale or
above in many models that have GUT-like phenomenology, as well as some that do
not. On the other hand, in some models with Standard Model gauge fields
supported on vanishing cycles, it is possible for F_a to be well below the GUT
scale.Comment: 62 pages, v2; references, acknowledgements and minor corrections
adde
Matter wave functions and Yukawa couplings in F-theory Grand Unification
We study the local structure of zero mode wave functions of chiral matter
fields in F-theory unification. We solve the differential equations for the
zero modes derived from local Higgsing in the 8-dimensional parent action of
F-theory 7-branes. The solutions are found as expansions both in powers and
derivatives of the magnetic fluxes. Yukawa couplings are given by an overlap
integral of the three wave functions involved in the interaction and can be
calculated analytically. We provide explicit expressions for these Yukawas to
second order both in the flux and derivative expansions and discuss the effect
of higher order terms. We explicitly describe the dependence of the couplings
on the U(1) charges of the relevant fields, appropriately taking into account
their normalization. A hierarchical Yukawa structure is naturally obtained. The
application of our results to the understanding of the observed hierarchies of
quarks and leptons is discussed.Comment: Latex, 51 pages, 4 figures, typos corrected, note adde
Non-perturbative effective interactions from fluxes
Motivated by possible implications on the problem of moduli stabilization and
other phenomenological aspects, we study D-brane instanton effects in flux
compactifications. We focus on a local model and compute non-perturbative
interactions generated by gauge and stringy instantons in a N = 1 quiver theory
with gauge group U(N_0) x U(N_1) and matter in the bifundamentals. This model
is engineered with fractional D3-branes at a C^3/(Z_2 x Z_2) singularity, and
its non-perturbative sectors are described by introducing fractional
D-instantons. We find a rich variety of instanton-generated F- and D-term
interactions, ranging from superpotentials and Beasley-Witten like
multi-fermion terms to non-supersymmetric flux-induced instanton interactions.Comment: 37 pages, 7 figures. Final version published on JHEP. Section 4
modified in several points regarding string corrections in absence of fluxes;
in particular, section 4.3 is removed. Some other minor changes and two
references adde
Lifting D-Instanton Zero Modes by Recombination and Background Fluxes
We study the conditions under which D-brane instantons in Type II orientifold
compactifications generate a non-perturbative superpotential. If the instanton
is non-invariant under the orientifold action, it carries four instead of the
two Goldstone fermions required for superpotential contributions. Unless these
are lifted, the instanton can at best generate higher fermionic F-terms of
Beasley-Witten type. We analyse two strategies to lift the additional zero
modes. First we discuss the process of instantonic brane recombination in Type
IIA orientifolds. We show that in some cases charge invariance of the measure
enforces the presence of further zero modes which, unlike the Goldstinos,
cannot be absorbed. In other cases, the instanton exhibits reparameterisation
zero modes after recombination and a superpotential is generated if these are
lifted by suitable closed or open string couplings. In the second part of the
paper we address lifting the extra Goldstinos of D3-brane instantons by
supersymmetric three-form background fluxes in Type IIB orientifolds. This
requires non-trivial gauge flux on the instanton. Only if the part of the
fermionic action linear in the gauge flux survives the orientifold projection
can the extra Goldstinos be lifted.Comment: 38 pages, 3 figures, 5 tables; v2: Appendix B slightly expanded,
minor rewordin
Type IIA Moduli Stabilization
We demonstrate that flux compactifications of type IIA string theory can
classically stabilize all geometric moduli. For a particular orientifold
background, we explicitly construct an infinite family of supersymmetric vacua
with all moduli stabilized at arbitrarily large volume, weak coupling, and
small negative cosmological constant. We obtain these solutions from both
ten-dimensional and four-dimensional perspectives. For more general
backgrounds, we study the equations for supersymmetric vacua coming from the
effective superpotential and show that all geometric moduli can be stabilized
by fluxes. We comment on the resulting picture of statistics on the landscape
of vacua.Comment: 48 pages, 2 figures, LaTeX. v2: references added. v3: minor comments
& references adde
Superpotentials From Stringy Instantons Without Orientifolds
In this paper we show that it is possible to derive non-perturbative
superpotential terms from a stringy instanton without introducing orientifold
planes. The instanton is realized by a Euclidean D brane wrapping a non-trivial
cycle upon which we also wrap a single space-filling D brane. The standard
problem of unwanted neutral fermionic zero modes is evaded by the appearance of
couplings to charged bosonic zero modes in the instanton moduli action. Since
the Euclidean D brane wraps a cycle which is not associated to any low energy
gauge dynamics, it can not be interpreted as an ordinary gauge instanton, but
rather as a stringy one. By considering such a brane configuration at an
orbifold singularity, we can explicitly evaluate the instanton moduli space
integral and find a holomorphic superpotential term with the structure of a
baryonic mass term.Comment: 17 pages, 1 figure, minor corrections, comments added, figure change
Instanton Induced Open String Superpotentials and Branes at Singularities
We study different aspects of the non-perturbative superpotentials induced by
Euclidean E3-branes on systems of D3/D7-branes located at Abelian orbifold
singularities. We discuss in detail how the induced couplings are consistent
with the U(1) symmetries carried by the D3/D7-branes. We construct different
compact and non-compact examples, and show phenomenologically relevant
couplings like -terms or certain Yukawa couplings generated by these E3
instantons. Some other novel effects are described. We show an example where
E3-instantons combine with standard gauge instantons to yield new
multi-instanton effects contributing to superpotential, along the lines of
ref.\cite{geu}. In the case of non-SUSY tachyon-free singularities it is
shown how E3-instantons give rise to non perturbative scalar couplings
including exponentially suppressed scalar bilinears.Comment: 41 pages, 2 figure
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