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Phenomenological aspects of 10D SYM theory with magnetized extra dimensions. (English) Zbl 1262.81250
Summary: We present a particle physics model based on a ten-dimensional (10D) super Yang-Mills (SYM) theory compactified on magnetized tori preserving four-dimensional $${\mathcal N} = 1$$ supersymmetry. The low-energy spectrum contains the minimal supersymmetric standard model with hierarchical Yukawa couplings caused by a wavefunction localization of the chiral matter fields due to the existence of magnetic fluxes, allowing a semi-realistic pattern of the quark and the lepton masses and mixings. We show supersymmetric flavor structures at low energies induced by a moduli-mediated and an anomaly-mediated supersymmetry breaking.

##### MSC:
 81V25 Other elementary particle theory in quantum theory 81V22 Unified quantum theories 81T13 Yang-Mills and other gauge theories in quantum field theory 81T60 Supersymmetric field theories in quantum mechanics 83E15 Kaluza-Klein and other higher-dimensional theories
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