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Open AccessMap** 6D \( \mathcal{N} = 1 \) supergravities to F-theory
We develop a systematic framework for realizing general anomaly-free chiral 6D supergravity theories in F-theory. We focus on 6D (1, 0) models with one tensor multiplet whose gauge group is a product of simple...
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Open AccessGlobal aspects of the space of 6D \( \mathcal{N} = 1 \) supergravities
We perform a global analysis of the space of consistent 6D quantum gravity theories with \( \mathcal{N} = 1 \) ...
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Open AccessOn the classification of 6D SCFTs and generalized ADE orbifolds
We study (1, 0) and (2, 0) 6D superconformal field theories (SCFTs) that can be constructed in F-theory. Quite surprisingly, all of them involve an orbifold singularity ℂ2/Γ with Γ a discrete subgroup of U(2). Wh...
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Open AccessBox graphs and singular fibers
We determine the higher codimension fibers of elliptically fibered Calabi-Yau fourfolds with section by studying the three-dimensional ...
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Open AccessF-theory on genus-one fibrations
We argue that M-theory compactified on an arbitrary genus-one fibration, that is, an elliptic fibration which need not have a section, always has an F-theory limit when the area of the genus-one fiber approach...
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Open AccessMordell-Weil torsion and the global structure of gauge groups in F-theory
We study the global structure of the gauge group G of F-theory compactified on an elliptic fibration Y. The global properties of G are encoded in the torsion subgroup of the Mordell-Weil group of rational section...
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Open AccessThe landscape of M-theory compactifications on seven-manifolds with G2 holonomy
We study the physics of globally consistent four-dimensional N ...
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Open AccessNon-Higgsable clusters for 4D F-theory models
We analyze non-Higgsable clusters of gauge groups and matter that can arise at the level of geometry in 4D F-theory models. Non-Higgsable clusters seem to be generic features of F-theory compactifications, and...
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Open AccessErratum to: On the classification of 6D SCFTs and generalized ADE orbifolds
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Open Access6D SCFTs and gravity
We study how to couple a 6D superconformal field theory (SCFT) to gravity. In F-theory, the models in question are obtained working on the supersymmetric background
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Open AccessGeometry of 6D RG flows
We study renormalization group flows between six-dimensional superconformal field theories (SCFTs) using their geometric realizations as singular limits of F-theory compactified on elliptically fibered Calabi-...
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Open AccessOn gauge enhancement and singular limits in G 2 compactifications of M-theory
We study the physics of singular limits of G 2 compactifications of M-theory, which are necessary to obtain a compactification with non-abelian gauge symmetry or massless charged p...
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Open AccessOn the global symmetries of 6D superconformal field theories
We study global symmetry groups of six-dimensional superconformal field theories (SCFTs). In the Coulomb branch we use field theoretical arguments to predict an upper bound for the global symmetry of the SCFT....
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Open AccessF-theory and \( \mathcal{N} \) = 1 SCFTs in four dimensions
Using the F-theory realization, we identify a subclass of 6d (1,0) SCFTs whose compactification on a Riemann surface leads to ...
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Article
Open AccessTall sections from non-minimal transformations
In previous work, we have shown that elliptic fibrations with two sections, or Mordell-Weil rank one, can always be mapped birationally to a Weierstrass model of a certain form, namely, the Jacobian of a ...
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Open Access6D SCFTs and phases of 5D theories
Starting from 6D superconformal field theories (SCFTs) realized via F-theory, we show how reduction on a circle leads to a uniform perspective on the phase structure of the resulting 5D theories, and their pos...
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Open AccessExotic matter on singular divisors in F-theory
We analyze exotic matter representations that arise on singular seven-brane configurations in F-theory. We develop a general framework for analyzing such representations, and work out explicit descriptions for...
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Open AccessConformal field theories and compact curves in moduli spaces
We show that there are many compact subsets of the moduli space Mg of Riemann surfaces of genus g that do not intersect any symmetry locus. This has interesting implications for
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Open AccessThe frozen phase of F-theory
We study the interpretation of O7+-planes in F-theory, mainly in the context of the six-dimensional models. In particular, we study how to assign gauge algebras and matter content to seven-branes and their inters...
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Open AccessInfinitely many M2-instanton corrections to M-theory on G2-manifolds
We consider the non-perturbative superpotential for a class of four-dimensional N = ...
