The paper defines cones C_BPS-B and C_BPS-BB for BPS branes in supergravity and conjectures that states in C_BPS-BB are realized as BPS states with C_BPS-B as their electric-magnetic dual when moduli-independent.
Compactifications of F-Theory on Calabi--Yau Threefolds -- II
8 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
We continue our study of compactifications of F-theory on Calabi--Yau threefolds. We gain more insight into F-theory duals of heterotic strings and provide a recipe for building F-theory duals for arbitrary heterotic compactifications on elliptically fibered manifolds. As a byproduct we find that string/string duality in six dimensions gets mapped to fiber/base exchange in F-theory. We also construct a number of new $N=1$, $d=6$ examples of F-theory vacua and study transitions among them. We find that some of these transition points correspond upon further compactification to 4 dimensions to transitions through analogues of Argyres--Douglas points of $N=2$ moduli. A key idea in these transitions is the notion of classifying $(0,4)$ fivebranes of heterotic strings.
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hep-th 8years
2026 8roles
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background 2representative citing papers
Non-fibered Calabi-Yau threefolds in toric hypersurface and CICY classes connect to fibered Calabi-Yau threefolds via single-divisor shrinking transitions.
A perturbative stabilization mechanism in the Large Volume Scenario for K3-fibered Calabi-Yau threefolds generates exponentially large 2D base volumes while keeping the 4D fibre small, enabling ADD or Dark Dimension limits with possible dS or quintessence vacua.
Classifies shift vectors for heterotic orbifolds on Enriques surfaces, analyzes spectra, and interprets some models as non-supersymmetric 10D heterotic compactifications with tachyon projection.
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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On BPS Branes
The paper defines cones C_BPS-B and C_BPS-BB for BPS branes in supergravity and conjectures that states in C_BPS-BB are realized as BPS states with C_BPS-B as their electric-magnetic dual when moduli-independent.
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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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Moduli Stabilisation for ADD and the Dark Dimension Scenario
A perturbative stabilization mechanism in the Large Volume Scenario for K3-fibered Calabi-Yau threefolds generates exponentially large 2D base volumes while keeping the 4D fibre small, enabling ADD or Dark Dimension limits with possible dS or quintessence vacua.
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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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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
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