A note on G-fluxes for F-theory model building

作者:Marsano Joseph*; Saulina Natalia; Schaefer Nameki Sakura
来源:Journal of High Energy Physics, 2010, 2010(11): 088.
DOI:10.1007/JHEP11(2010)088

摘要

We propose a description of G-fluxes that induce chirality in 4-dimensional F-theory GUT spectra that is intrinsic to F-theory and does not rely on Heterotic/F-theory duality. Using this, we describe how to globally extend fluxes that have been constructed in a semi-local setting and obtain an F-theoretic formula for computing the chiral spectrum that they induce. Chirality computations agree with those from the semi-local Higgs bundle analysis for matter fields that are charged under the GUT-group, and hence with the standard Heterotic formulae where applicable. Finally, the relation of G-fluxes to SU(5)(perpendicular to) bundles on the F-theory 4-fold is discussed and used to motivate a quantization rule that is consistent both with the Higgs bundle one as well as the Heterotic one when a Heterotic dual exists.

  • 出版日期2010-11
  • 单位中国科学院理论物理研究所