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Open AccessOn the frozen F-theory landscape
We study 6d \(\mathcal{N}\) = (1, 0) supergravity theories arising in the frozen phase of F-theory. For each of the known globa...
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Open AccessCharge completeness and the massless charge lattice in F-theory models of supergravity
We prove that, for every 6D supergravity theory that has an F-theory description, the property of charge completeness for the connected component of the gauge group (meaning that all charges in the correspondi...
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Open AccessNon-perturbative heterotic duals of M-theory on G2 orbifolds
By fibering the duality between the E8 × E8 heterotic string on T3 and M-theory on K3, we study heterotic duals of M-theory compactified on G2 orbifolds of the form T7/
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Open AccessHigher-form symmetries in 5d
We study higher-form symmetries in 5d quantum field theories, whose charged operators include extended operators such as Wilson line and ’t Hooft operators. We outline criteria for the existence of higher-form...
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Open AccessHigh electric charges in M-theory from quiver varieties
M-theory on a Calabi-Yau threefold admitting a small resolution gives rise to an Abelian vector multiplet and a charged hypermultiplet. We introduce into this picture a procedure to construct threefolds that n...
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Open Access4D gauge theories with conformal matter
One of the hallmarks of 6D superconformal field theories (SCFTs) is that on a partial tensor branch, all known theories resemble quiver gauge theories with links comprised of 6D conformal matter, a generalizat...
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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 = ...
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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 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 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 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 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 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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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 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 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 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 AccessErratum to: On the classification of 6D SCFTs and generalized ADE orbifolds
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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 AccessThe landscape of M-theory compactifications on seven-manifolds with G2 holonomy
We study the physics of globally consistent four-dimensional N ...