TL;DR
This paper constructs and analyzes flipped SU(5) GUT models in F-theory using spectral divisor techniques, confirming their consistency with semi-local spectral cover results and extending heterotic formula applicability.
Contribution
It introduces a spectral divisor construction for flipped SU(5) GUTs in F-theory and validates its results against semi-local spectral cover analyses.
Findings
Spectral divisor construction matches semi-local spectral cover results.
Heterotic formulae are applicable to F-theory without heterotic dual.
Provides explicit examples of flipped SU(5) GUTs in F-theory.
Abstract
We construct an SU(4) spectral divisor and its factorization of types (3,1) and (2,2) based on the construction proposed in [1]. We calculate the chiral spectra of flipped SU(5) GUTs by using the spectral divisor construction. The results agree with those from the analysis of semi-local spectral covers. Our computations provide an example for the validity of the spectral divisor construction and suggest that the standard heterotic formulae are applicable to the case of F-theory on an elliptically fibered Calabi-Yau fourfold with no heterotic dual.
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