U(n) Spectral Covers from Decomposition

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• Hayashi, H (Korea Institute for Advanced Study (KIAS))
• Thursday 28 June 2012, 17:15-17:30
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact Mustapha Amrani.

Mathematics and Applications of Branes in String and M-theory

We construct decomposed spectral covers for bundles on elliptically fibered Calabi-Yau threefolds whose structure groups are S(U(1) x U(4)), S(U(2) x U(3)) and S(U(1) x U(1) x 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 a slice of the moduli space for an E6 gauge theory with (1+2) decomposition. This may provide a systematic way for constructing some F-theory models with U (1) symmetries.

This talk is part of the Isaac Newton Institute Seminar Series series.

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