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Open AccessTowards natural and realistic E7 GUTs in F-theory
We consider phenomenological aspects of a natural class of Standard Model-like supersymmetric F-theory vacua realized through flux breaking of rigid E7 gauge factors. Three generations of Standard Model matter ar...
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Article
Open AccessChiral Matter Multiplicities and Resolution-Independent Structure in 4D F-Theory Models
Motivated by questions related to the landscape of flux compactifications, we combine new and existing techniques into a systematic, streamlined approach for computing vertical fluxes and chiral matter multipl...
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Article
Open AccessChiral spectrum of the universal tuned (SU(3) × SU(2) × U(1))/ℤ6 4D F-theory model
We use the recently developed methods of ar**v:2108.07810 to analyze vertical flux backgrounds and associated chiral matter spectra in the 4D universal (SU(3) × SU(2) × U(1))/ℤ6 model introduced in ar**v:1912.109...
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Open AccessLarge U(1) charges from flux breaking in 4D F-theory models
We study the massless charged spectrum of U(1) gauge fields in F-theory that arise from flux breaking of a nonabelian group. The U(1) charges that arise in this way can be very large. In particular, using vert...
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Open AccessGauge symmetry breaking with fluxes and natural Standard Model structure from exceptional GUTs in F-theory
We give a general description of gauge symmetry breaking using vertical and remainder fluxes in 4D F-theory models. The fluxes can break a geometric gauge group to a smaller group and induce chiral matter, eve...
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Article
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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Article
Open AccessAutomatic enhancement in 6D supergravity and F-theory models
We observe that in many F-theory models, tuning a specific gauge group G and matter content M under certain circumstances leads to an automatic enhancement to a larger gauge group G′ ⊃ G and matter content M′ ⊃ M
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Article
Open AccessGeneral F-theory models with tuned (SU(3) × SU(2) × U(1))/ℤ6 symmetry
We construct a general form for an F-theory Weierstrass model over a general base giving a 6D or 4D supergravity theory with gauge group (SU(3) × SU(2) × U(1))/ℤ6 and generic associated matter, which includes the...
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Article
Open AccessFibration structure in toric hypersurface Calabi-Yau threefolds
We find through a systematic analysis that all but 29,223 of the 473.8 million 4D reflexive polytopes found by Kreuzer and Skarke have a 2D reflexive subpolytope. Such a subpolytope is generally associated wit...
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Article
Open AccessGeneric matter representations in 6D supergravity theories
In six-dimensional supergravity, there is a natural sense in which matter lying in certain representations of the gauge group is “generic,” in that other “exotic” matter representations require more fine tunin...
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Article
Open AccessMirror symmetry and elliptic Calabi-Yau manifolds
We find that for many Calabi-Yau threefolds with elliptic or genus one fibrations mirror symmetry factorizes between the fiber and the base of the fibration. In the simplest examples, the generic CY elliptic f...
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Article
Open AccessOn the prevalence of elliptic and genus one fibrations among toric hypersurface Calabi-Yau threefolds
We systematically analyze the fibration structure of toric hypersurface Calabi-Yau threefolds with large and small Hodge numbers. We show that there are only four such Calabi-Yau threefolds with h1,1 ≥ 140 or h2,...
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Open AccessComparing elliptic and toric hypersurface Calabi-Yau threefolds at large Hodge numbers
We compare the sets of Calabi-Yau threefolds with large Hodge numbers that are constructed using toric hypersurface methods with those can be constructed as elliptic fibrations using Weierstrass model techniqu...
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The Physics of Energy
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Open AccessLarge U(1) charges in F-theory
We show that massless fields with large abelian charges (up to at least q = 21) can be constructed in 6D F-theory models with a U(1) gauge group. To show this, we explicitly construct F-theory Weierstrass models ...
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Open AccessAn infinite swampland of U(1) charge spectra in 6D supergravity theories
We analyze the anomaly constraints on 6D supergravity theories with a single abelian U(1) gauge factor. For theories with charges restricted to q = ±1, ±2 and no tensor multiplets, anomaly-free models match those...
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Article
Open AccessScanning the skeleton of the 4D F-theory landscape
Using a one-way Monte Carlo algorithm from several different starting points, we get an approximation to the distribution of toric threefold bases that can be used in four-dimensional F-theory compactification...
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Article
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 AccessThree-index symmetric matter representations of SU(2) in F-theory from non-Tate form Weierstrass models
We give an explicit construction of a class of F-theory models with matter in the three-index symmetric (4) representation of SU(2). This matter is realized at codimen-sion two loci in the F-theory base where ...
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Article
Open AccessMatter in transition
We explore a novel type of transition in certain 6D and 4D quantum field theories, in which the matter content of the theory changes while the gauge group and other parts of the spectrum remain invariant. Such...
