U(n) spectral covers from decomposition

Kang Sin Choi, Hirotaka Hayashi

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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 E 6 gauge theory with (1 + 2) decomposition. This may provide a systematic way for constructing F-theory models with U(1) symmetries.

Original languageEnglish
Article number9
JournalJournal of High Energy Physics
Issue number6
StatePublished - 2012


  • F-Theory
  • String duality
  • Superstring vacua
  • Superstrings and heterotic strings


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