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Supersymmetry Breaking, Fermion Masses and a Small Extra Dimension
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We present a supersymmetric model in which the observed fermion masses and mixings are generated by localizing the three generations of matter and the two Higgs fields at different locations in a compact extra dimension. Supersymmetry is broken by the shining method and the breaking is communicated to standard model fields via gaugino mediation. Quark masses, CKM mixing angles and the mu term are generated with all dimensionless couplings of O(1). All dimensionful parameters are of order the five-dimensional Planck scale except for the size of the extra dimension which is of order the GUT scale. The superpartner spectrum is highly predictive and is found to have a neutralino LSP over a wide range of parameter space. The resulting phenomenology and interesting extensions of the model are briefly discussed.
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Vacuum structure of a scalar field on a torus with uniform magnetic flux
Above a critical area, a complex scalar on a torus with flux M develops a non-zero coordinate-dependent vacuum expectation value, yielding 1, 2, or 6 degenerate configurations for M=1,2,3 in the lowest-mode approximation.
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