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U(n) spectral covers from decomposition

Title
U(n) spectral covers from decomposition
Authors
Choi K.-S.Hayashi H.
Ewha Authors
최강신
SCOPUS Author ID
최강신scopus
Issue Date
2012
Journal Title
Journal of High Energy Physics
ISSN
1126-6708JCR Link
Citation
vol. 2012, no. 6
Indexed
SCOPUS WOS scopus
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 E 6 gauge theory with (1 + 2) decomposition. This may provide a systematic way for constructing F-theory models with U(1) symmetries. © 2012 SISSA.
DOI
10.1007/JHEP06(2012)009
Appears in Collections:
스크랜튼대학 > 스크랜튼학부 > Journal papers
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