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Split symmetries. (English) Zbl 1364.83058
Summary: We consider six-dimensional supergravity with gauge group $$\mathrm{SO}(10) \times \mathrm U(1)_A$$, compactified on the orbifold $$T^2 / \mathbb{Z}_2$$. Three quark-lepton generations arise as zero modes of a bulk 16-plet due to magnetic flux of the anomalous $$\mathrm U(1)_A$$. Boundary conditions at the four fixed points break $$\mathrm{SO}(10)$$ to subgroups whose intersection is the Standard Model gauge group. The gauge and Higgs sector consist of “split” $$\mathrm{SO}(10)$$ multiplets. As a consequence of the $$\mathrm U(1)_A$$ flux, squarks and sleptons are much heavier than gauge bosons, Higgs bosons, gauginos and higgsinos. We thus obtain a picture similar to “split supersymmetry”. The flavor structure of the quark and lepton mass matrices is determined by the symmetry breaking at the orbifold fixed points.

##### MSC:
 83E50 Supergravity 81T13 Yang-Mills and other gauge theories in quantum field theory 81V22 Unified quantum theories 81T60 Supersymmetric field theories in quantum mechanics
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