Non-fibered Calabi-Yau threefolds in toric hypersurface and CICY classes connect to fibered Calabi-Yau threefolds via single-divisor shrinking transitions.
Compactifications of F-Theory on Calabi--Yau Threefolds -- I
6 Pith papers cite this work. Polarity classification is still indexing.
6
Pith papers citing it
abstract
We study compactifications of F-theory on certain Calabi--Yau threefolds. We find that $N=2$ dualities of type II/heterotic strings in 4 dimensions get promoted to $N=1$ dualities between heterotic string and F-theory in 6 dimensions. The six dimensional heterotic/heterotic duality becomes a classical geometric symmetry of the Calabi--Yau in the F-theory setup. Moreover the F-theory compactification sheds light on the nature of the strong coupling transition and what lies beyond the transition at finite values of heterotic string coupling constant.
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hep-th 6years
2026 6roles
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background 1representative citing papers
Classifies shift vectors for heterotic orbifolds on Enriques surfaces, analyzes spectra, and interprets some models as non-supersymmetric 10D heterotic compactifications with tachyon projection.
Proposes G2 torsion classes as a characterization tool for torsion and supersymmetry breaking in M-theory on deformed K3 fibrations, leading to non-supersymmetric 4D theories via reductions to Type 0A and heterotic strings.
QCD axions constrain F-theory base threefolds to have rigid or flux-rigidified divisors, yielding typical axion masses around 10^{-9} eV and decay constants near 10^{15} GeV in allowed regions.
Rationality of the 2d SCFT on BPS strings provides a consistency criterion that uniquely determines the elliptic genus and global gauge group in a class of 6d supergravity models without tensor multiplets.
citing papers explorer
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An elliptic approach to Reid's fantasy
Non-fibered Calabi-Yau threefolds in toric hypersurface and CICY classes connect to fibered Calabi-Yau threefolds via single-divisor shrinking transitions.
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Heterotic Strings on Enriques Surfaces
Classifies shift vectors for heterotic orbifolds on Enriques surfaces, analyzes spectra, and interprets some models as non-supersymmetric 10D heterotic compactifications with tachyon projection.
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Towards Wedge Construction of Four-Dimensional Non-Supersymmetric Theories and Torsion Classes
Proposes G2 torsion classes as a characterization tool for torsion and supersymmetry breaking in M-theory on deformed K3 fibrations, leading to non-supersymmetric 4D theories via reductions to Type 0A and heterotic strings.
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Constraining F-theory Model Building with QCD Axions
QCD axions constrain F-theory base threefolds to have rigid or flux-rigidified divisors, yielding typical axion masses around 10^{-9} eV and decay constants near 10^{15} GeV in allowed regions.
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Rational points in the 6d supergravity landscape and simple current extensions
Rationality of the 2d SCFT on BPS strings provides a consistency criterion that uniquely determines the elliptic genus and global gauge group in a class of 6d supergravity models without tensor multiplets.
- Calabi-Yau Orientifold Hypersurfaces and their F-theory Uplifts