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Three generations on a local vortex in extra dimensions
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Three generations on a local vortex in extra dimensions
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We develop an approach to the origin of three generations of the Standard Model fermions from one generation in a higher-dimensional theory, where four-dimensional fermions appear as zero modes trapped in the core of a topological defect, and the hierarchy of masses and mixings is produced by wave function overlaps in extra dimensions. We present a model with unbroken U(1) symmetry where three zero modes appear on an Abrikosov-Nielsen-Olesen vortex due to nontrivial scalar--fermion interactions.
Forward citations
Cited by 2 Pith papers
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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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String geometry phenomenology
Minimizing a potential from string geometry theory in a simple heterotic model relates the compactification scale to flux quanta and gives Mc ≤ 6.7×10^16 GeV for three generations.
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