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Open AccessReflexive polygons and rational elliptic surfaces
In this note we study in detail the geometry of eight rational elliptic surfaces naturally associated to the sixteen reflexive polygons. The elliptic fibrations supported by these surfaces correspond under mir...
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Open Access6D anomaly-free matter spectrum in F-theory on singular spaces
In this paper we study the 6d localized charged matter spectrum of F-theory directly on a singular elliptic Calabi-Yau 3-fold, i.e. without smoothing via resolution or deformation of the entire fibration. Give...
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Open AccessNon-simply-laced symmetry algebras in F-theory on singular spaces
We demonstrate how non-simply-laced gauge and flavor symmetries arise in F-theory on spaces with non-isolated singularities. The breaking from a simply-laced symmetry to one that is non-simply-laced is induced...
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Article
Open AccessF-theory on quotient threefolds with (2,0) discrete superconformal matter
We explore 6-dimensional compactifications of F-theory exhibiting (2, 0) superconformal theories coupled to gravity that include discretely charged superconformal matter. Beginning with F-theory geometries wit...
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Open AccessDualities of deformed \( \mathcal{N}=2 \) SCFTs from link monodromy on D3-brane states
We study D3-brane theories that are dually described as deformations of two different N ...
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Open AccessDiscrete symmetries in Heterotic/F-theory duality and mirror symmetry
We study aspects of Heterotic/F-theory duality for compactifications with Abelian discrete gauge symmetries. We consider F-theory compactifications on genus-one fibered Calabi-Yau manifolds with n-sections, assoc...
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Open AccessOrigin of Abelian gauge symmetries in heterotic/F-theory duality
We study aspects of heterotic/F-theory duality for compactifications with Abelian gauge symmetries. We consider F-theory on general Calabi-Yau manifolds with a rank one Mordell-Weil group of rational sections....
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Article
Non-Abelian Gauge Symmetry and the Higgs Mechanism in F-Theory
Singular fiber resolution does not describe the spontaneous breaking of gauge symmetry in F-theory, as the corresponding branch of the moduli space does not exist in the theory. Accordingly, even non-abelian g...
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Open AccessNon-Higgsable QCD and the standard model spectrum in F-theory
Many four-dimensional supersymmetric compactifications of F-theory contain gauge groups that cannot be spontaneously broken through geometric deformations. These “non-Higgsable clusters” include realizations o...
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Article
Open AccessChiral four-dimensional F-theory compactifications with SU(5) and multiple U(1)-factors
We develop geometric techniques to determine the spectrum and the chiral indices of matter multiplets for four-dimensional F-theory compactifications on elliptic Calabi-Yau fourfolds with rank two Mordell-Weil...
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Article
Matter from geometry without resolution
We utilize the deformation theory of algebraic singularities to study charged matter in compactifications of M-theory, F-theory, and type IIa string theory on ellipti- cally fibered Calabi-Yau manifolds. In F-...
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On minimal models of elliptic threefolds
