U(n) spectral covers from decomposition View Full Text


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Article Info

DATE

2012-06-01

AUTHORS

Kang-Sin Choi, Hirotaka Hayashi

ABSTRACT

We construct decomposed spectral covers for bundles on elliptically fibered Calabi-Yau threefolds whose structure groups are S(U(1) × U(4)), S(U(2) × U(3)) and S(U(1) × U(1) × U(3)) in heterotic string compactifications. The decomposition requires not only the tuning of the SU(5) spectral covers but also the tuning of the complex structure moduli of the Calabi-Yau threefolds. This configuration is translated to geometric data on F-theory side. We find that the monodromy locus for two-cycles in K3 fibered Calabi-Yau fourfolds in a stable degeneration limit is globally factorized with squared factors under the decomposition conditions. This signals that the monodromy group is reduced and there is a U(1) symmetry in a low energy effective field theory. To support that, we explicitly check the reduction of a monodromy group in an appreciable region of the moduli space for an E6 gauge theory with (1 + 2) decomposition. This may provide a systematic way for constructing F-theory models with U(1) symmetries. More... »

PAGES

9

References to SciGraph publications

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