We present a systematic construction of F-theory compactifications with Abelian gauge symmetries in addition to non-Abelian group G. The formalism is generally applicable models global Tate form but we focus on the phenomenologically interesting case G=SU(5). factors arise due extra sections resulting from specific factorisation polynomial which describes elliptic fibration. These constructions, accommodate up four different U(1) factors, are worked out detail for two possible embeddings...

We study the global structure of gauge group G F-theory compactified on an elliptic fibration Y. The properties are encoded in torsion subgroup Mordell-Weil rational sections Generalising Shioda map to torsional we construct a specific integer divisor class Y as fractional linear combination resolution divisors associated with Cartan subalgebra G. This can be interpreted element refined coweight lattice group. As result, spectrum admissible matter representations is strongly constrained and...

We initiate the systematic investigation of non-flat resolutions non-minimal singularities in elliptically fibered Calabi--Yau threefolds. Compactification M-theory on these geometries provides an alternative approach to studying phases five-dimensional superconformal field theories (5d SCFTs). argue that such capture non-trivial holonomies circle reduction 6d conformal matter theory is F-theory interpretation singular fibration. As become mass deformations 5d theory, furnish a novel method...

Elliptic Calabi-Yau fibrations with Mordell-Weil group of rank two are constructed. Such geometries the basis for F-theory compactifications Abelian gauge groups in addition to non-Abelian symmetry. We present elliptic fiber both as a ${\mathrm{Bl}}^{2}{\mathbb{P}}^{2}[3]$ fibration and birationally equivalent Weierstra\ss{} form. The spectrum charged singlets their Yukawa interactions worked out generality. This framework can be combined toric construction tops implement additional groups....

We address the open question of performing an explicit stabilisation all closed string moduli (including dilaton, complex structure and Kaehler moduli) in fluxed type IIB Calabi-Yau compactifications with chiral matter. Using toric geometry we construct manifolds del Pezzo singularities. D-branes located at such singularities can support Standard Model gauge group matter content. In order to control consider which exhibit a discrete symmetry that reduces effective number moduli. calculate...

We study F-theory compactifications with up to two Abelian gauge group factors that are based on elliptically fibered Calabi-Yau 4-folds describable as generic hypersurfaces. Special emphasis is put elliptic fibrations Bl^2 P^2[3]-fibrations. These exhibit a Mordell-Weil of rank corresponding extra rational sections which give rise factors. show an alternative description the same geometry complete intersection makes existence holomorphic zero-section manifest, basis we compute U(1)...

We combine moduli stabilisation and (chiral) model building in a fully consistent global set-up Type IIB/F-theory. consider compactifications on Calabi-Yau orientifolds which admit an explicit description terms of toric geometry. build globally with tadpole Freed-Witten anomaly cancellation by choosing appropriate brane set-ups world-volume fluxes also give rise to SU(5)- or MSSM-like chiral models. fix all the Kaehler within cone regime validity 4D effective field theory. This is achieved...

We study the relation between discrete gauge symmetries in F-theory compactifications and torsion homology on associated Calabi-Yau manifold. Focusing simplest example of a $$ {\mathbb{Z}}_2 symmetry, we show that there are two physically distinct ways such symmetry can arise. First, M-Theory threefolds which support genus-one fibration with bi-section known to be dual six-dimensional vacua symmetry. resulting five-dimensional theories do not have but latter emerges only decompactification...

We study F-Theory compactifications to four dimensions that exhibit discrete gauge symmetries. Geometrically these arise by deforming elliptic fibrations with two sections a genus-one fibration bi-section. From four-dimensional field-theory perspective they are remnant symmetries from Higgsed U(1) symmetry. implement such in the presence of an additional SU(5) symmetry and associated matter fields, giving geometric prescription for calculating induced charge curves showing absence Yukawa...

Abstract We analyze the quantum‐corrected moduli space of D7‐brane position with special emphasis on inflationary model building. deformation are key players in two recently proposed scenarios: The first, chaotic inflation, is a variant axion monodromy inflation which allows for an effective 4d supergravity description. second, fluxbrane stringy version D‐term hybrid inflation. Both proposals rely fact that coordinates enjoy shift‐symmetric Kähler potential at large complex structure...

A bstract We describe global embeddings of fractional D3 branes at orientifolded singularities in type IIB flux compactifications. present an explicit Calabi-Yau example where the chiral visible sector lives on a local quiver while non-perturbative effects, α ′ corrections and T-brane hidden lead to full closed string moduli stabilisation de Sitter vacuum. The same model can also successfully give rise inflation driven by del Pezzo divisor. Our represents first featuring both inflationary sector.

A bstract We argue that in type IIB LVS string models, after including the leading order moduli stabilisation effects, space for remaining flat directions is compact due Calabi-Yau Kähler cone conditions. In cosmological applications, this gives an inflaton field range which bounded from above, analogy with recent results weak gravity and swampland conjectures. support our claim by explicitly showing it holds all vacua h 1,1 = 3 obtained 4-dimensional reflexive polytopes. particular, we...

We initiate the construction of gauge fluxes in F-theory compactifications on genus-one fibrations which only have a multi-section as opposed to section. such spaces gives rise discrete symmetries effective action. generalize transversality conditions known for elliptic by taking into account properties available multi-section. test these general constructing all vertical bisection model with group $$ \mathrm{S}\mathrm{U}(5)\times {\mathrm{\mathbb{Z}}}_2 . The non-abelian anomalies are shown...

A bstract We analyse hypercharge flux GUT breaking in F-theory/Type IIB models with regards to its implications for anomaly cancellation and gauge coupling unification. To this aim we exploit the Type limit consider 7-brane configurations that first time are guaranteed exhibit net restriction matter curves. show local F-theory anomalies of type U(1) Y −U(1) 2 massless spectrum can be consistent only if such additional U(1)s globally geometrically massive (in sense they arise from non-Kähler...

A bstract Computing the exact spectrum of charged massless matter is a crucial step towards understanding effective field theory describing F-theory vacua in four dimensions. In this work we further develop coherent framework to determine compactified on elliptic fourfolds, and demonstrate its application concrete example. The gauge background represented, via duality with M-theory, by algebraic cycles modulo rational equivalence. Intersection within Chow ring allows us extract sheaves base...

We study the $(1,0)$ six-dimensional SCFTs living on defects of non-geometric heterotic backgrounds (T-fects) preserving a $E_7\times E_8$ subgroup $E_8\times E_8$. These configurations can be dualized explicitly to F-theory elliptic K3-fibered non-compact Calabi-Yau threefolds. find that majority resulting dual threefolds contain non-resolvable singularities. In those cases in which we resolve singularities determine defect. form duality distinct are described by same IR fixed point. For...