We present a supersymmetric standard model with three gauged Abelian symmetries, of a type commonly found in superstrings. One is anomalous, the other two are E 6 family symmetries. It has a vacuum in which only these symmetries are broken by stringy effects. It reproduces all observed quark and charged lepton Yukawa hierarchies, and the value of the Weinberg angle. It predicts three massive neutrinos, with mixing that can explain both the small angle MSW effect, and the atmospheric neutrino anomaly. The Cabibbo angle is expressed in terms of the gauge couplings at unification. It conserves R-parity, and proton decay is close to experimental bounds.
The observed quark hierarchies suggest a simple family symmetry. Generalized to leptons through grand-unified quantum numbers, it produces a neutrino mixing matrix with order-one ν µ − ν τ mixing, and order-λ 3 ν e − ν µ and ν e − ν τ mixings. The intrafamily hierarchy and observed neutrino mass differences together require this symmetry to be anomalous, suggesting through the Green-Schwarz mechanism a string or M-theory origin for the symmetry.
We present a dilaton dominated scenario for supersymmetry breaking in a
recently constructed realistic superstring inspired model with an anomalous
U(1) symmetry. Supersymmetry is broken via gaugino condensation due to a
confining SU(Nc) gauge group in the hidden sector. In particular, we find that
by imposing on the model the phenomenological constraint of the absence of
observed flavor changing neutral currents, there is a range of parameters
related to the hidden sector and the Kahler potential for which we obtain a low
energy spectrum consistent with present experimental bounds. As an illustrative
example, we derive the low energy spectrum of a specific model. We find that
the LSP is the lightest neutralino with a mass of 53 GeV and the lightest Higgs
has a mass of 104 GeV.Comment: 13 page
We argue that traditional methods of compactification of string theory make it very difficult to understand how the cosmological constant becomes zero. String inspired models can give zero cosmological constant after fine tuning but since string theory has no free parameters it is not clear that this is allowed. Brane world scenarios on the other hand while they do not answer the question as to why the cosmological constant is zero do actually allow a choice of integration constants that permit flat four space solutions. In this paper we discuss gauged supergravity realizations of such a world. To the extent that this starting point can be considered a low energy effective action of string theory (and there is some recent evidence supporting this) our model may be considered a string theory realization of this scenario.
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