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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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Article
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 AccessThe arithmetic of elliptic fibrations in gauge theories on a circle
The geometry of elliptic fibrations translates to the physics of gauge theories in F-theory. We systematically develop the dictionary between arithmetic structures on elliptic curves as well as desingularized ...
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Article
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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Open AccessGeneral U(1)×U(1) F-theory compactifications and beyond: geometry of unHiggsings and novel matter structure
We construct the general form of an F-theory compactification with two U(1) factors based on a general elliptically fibered Calabi-Yau manifold with Mordell-Weil group of rank two. This construction produces b...
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Open AccessThree-family particle physics models from global F-theory compactifications
We construct four-dimensional, globally consistent F-theory models with three chiral generations, whose gauge group and matter representations coincide with those of the Minimal Supersymmetric Standard Model, ...
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Article
Open AccessF-theory on all toric hypersurface fibrations and its Higgs branches
We consider F-theory compactifications on genus-one fibered Calabi-Yau manifolds with their fibers realized as hypersurfaces in the toric varieties associated to the 16 reflexive 2D polyhedra. We present a bas...
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Open AccessOn finiteness of type IIB compactifications: magnetized branes on elliptic Calabi-Yau threefolds
The string landscape satisfies interesting finiteness properties imposed by supersymmetry and string-theoretical consistency conditions. We study ...
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Article
Open AccessExplicit de Sitter flux vacua for global string models with chiral matter
We address the open question of performing an explicit stabilisation of all closed string moduli (including dilaton, complex structure and Kähler moduli) in fluxed type IIB Calabi-Yau compactifications with ch...
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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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Open AccessElliptic fibrations with rank three Mordell-Weil group: F-theory with U(1)×U(1)×U(1) gauge symmetry
We analyze general F-theory compactifications with U(1)×U(1)×U(1) Abelian gauge symmetry by constructing the general elliptically fibered Calabi-Yau manifolds with a rank three Mordell-Weil group of rational s...
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Article
F-theory compactifications with multiple U(1)-factors: addendum
The purpose of this note is to extend the results obtained in [1] in two ways. First, the six-dimensional F-theory compactifications with U(1) × U(1) gauge symmetry on elliptic Calabi-Yau threefolds, constructed ...
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F-theory compactifications with multiple U(1)-factors: constructing elliptic fibrations with rational sections
We study F-theory compactifications with U(1)×U(1) gauge symmetry on elliptically fibered Calabi-Yau manifolds with a rank two Mordell-Weil group. We find that the natural presentation of an elliptic curve ...
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Article
Anomaly cancellation and abelian gauge symmetries in F-theory
We study 4D F-theory compactifications on singular Calabi-Yau fourfolds with fluxes. The resulting \(\mathcal{N}=1\) ef...
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Article
Fluxes and war** for gauge couplings in F-theory
We compute flux-dependent corrections in the four-dimensional F-theory effective action using the M-theory dual description. In M-theory the 7-brane fluxes are encoded by four-form flux and modify the backgrou...
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Five-brane superpotentials, blow-up geometries and SU(3) structure manifolds
We investigate the dynamics of space-time filling five-branes wrapped on curves in heterotic and orientifold Calabi-Yau compactifications. We first study the leading
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Article
Computing brane and flux superpotentials in F-theory compactifications
In four-dimensional F-theory compactifications with N=1 supersymmetry the fields describing the dynamics of space-time filling 7-branes are part of the complex structure moduli space of the internal Calabi-Yau...
