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We discuss some aspects of F-theory in four dimensions on elliptically fibered Calabi-Yau fourfolds which are Calabi-Yau threefold fibrations. A particularly simple class of such manifolds emerges for fourfolds in which the generic…

High Energy Physics - Theory · Physics 2009-10-30 I. Brunner , R. Schimmrigk

We show how F-theory on a Calabi-Yau (n+1)-fold, in appropriate limit, can be identified as an orientifold of type IIB string theory compactified on a Calabi-Yau n-fold.

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen

We consider flux compactification of type IIB string theory as the orientifold limit of an F-theory on a Calabi-Yau fourfold. We show that when supersymmetry is dominantly broken by the axion-dilaton and the contributions of the F-terms…

High Energy Physics - Theory · Physics 2009-01-17 Masoud Soroush

We study the space of geometric and open string moduli of type IIB compactifications from the perspective of complex structure deformations of F-theory. In order to find a correspondence, we work in the weak coupling limit and for…

High Energy Physics - Theory · Physics 2010-05-25 Andreas P. Braun , Sebastian Gerigk , Arthur Hebecker , Hagen Triendl

We study the rigid limit of a class of hypermultiplet moduli spaces appearing in Calabi-Yau compactifications of type IIB string theory, which is induced by a local limit of the Calabi-Yau. We show that the resulting hyperkahler manifold is…

High Energy Physics - Theory · Physics 2025-07-14 Sergei Alexandrov , Sibasish Banerjee , Pietro Longhi

We study Landau Ginzburg (LG) theories mirror to 2D N=2 gauged linear sigma models on toric Calabi-Yau manifolds. We derive and solve new constraint equations for Landau Ginzburg elliptic Calabi-Yau superpotentials, depending on the…

High Energy Physics - Theory · Physics 2008-11-26 Adil Belhaj

We study the elliptic fibrations of some Calabi-Yau three-folds, including the $Z_2\times Z_2$ orbifold with $(h_{1,1},h_{2,1})=(27,3)$, which is equivalent to the common framework of realistic free-fermion models, as well as related…

High Energy Physics - Theory · Physics 2009-10-31 Per Berglund , John Ellis , Alon E. Faraggi , D. V. Nanopoulos , Zongan Qiu

We explore the landscape of F-theory compactifications on Calabi--Yau fourfolds whose complex structure moduli space is the thrice-punctured sphere. As a first part, we enumerate all such Calabi--Yau fourfolds under the additional…

High Energy Physics - Theory · Physics 2024-12-31 Damian van de Heisteeg

We consider F-theory compactifications on a mirror pair of elliptic Calabi-Yau threefolds. This yields two different six-dimensional theories, each of them being nonperturbatively equivalent to some compactification of heterotic strings on…

High Energy Physics - Theory · Physics 2009-10-30 Eugene Perevalov , Govindan Rajesh

We continue our study of compactifications of F-theory on Calabi--Yau threefolds. We gain more insight into F-theory duals of heterotic strings and provide a recipe for building F-theory duals for arbitrary heterotic compactifications on…

High Energy Physics - Theory · Physics 2010-11-19 David R. Morrison , Cumrun Vafa

The F-theory vacuum constructed from an elliptic Calabi-Yau threefold with section yields an effective six-dimensional theory. The Lie algebra of the gauge sector of this theory and its representation on the space of massless…

High Energy Physics - Theory · Physics 2007-05-23 Paul S. Aspinwall , Sheldon Katz , David R. Morrison

In this work, the moduli of D7-branes in type IIB orientifold compactifications and their stabilization by fluxes is studied from the perspective of F-theory. In F-theory, the moduli of the D7-branes and the moduli of the orientifold are…

High Energy Physics - Theory · Physics 2010-03-26 A. P. Braun

We provide a detailed geometric and physical interpretation of infinite distance limits in the complex structure moduli space of Type IIB compactifications on Calabi-Yau threefolds, motivated by the Emergent String Conjecture. In the…

High Energy Physics - Theory · Physics 2025-11-24 Jeroen Monnee , Timo Weigand , Max Wiesner

We systematically analyze a broad class of dual heterotic and F-theory models that give four-dimensional supergravity theories, and compare the geometric constraints on the two sides of the duality. Specifically, we give a complete…

High Energy Physics - Theory · Physics 2015-06-19 Lara B. Anderson , Washington Taylor

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 fourfold. We explicitly…

High Energy Physics - Theory · Physics 2014-11-20 Thomas W. Grimm , Tae-Won Ha , Albrecht Klemm , Denis Klevers

We consider heterotic target space dual (0,2) GLSMs on elliptically fibered Calabi-Yau manifolds. In this context, each half of the "dual" heterotic theories must in turn have an F-theory dual. Moreover, the apparent relationship between…

High Energy Physics - Theory · Physics 2019-12-18 Lara B. Anderson , He Feng , Xin Gao , Mohsen Karkheiran

F-theory on appropriately fibered Spin(7) holonomy manifolds is defined to arise as the dual of M-theory on the same space in the limit of a shrinking fiber. A class of Spin(7) orbifolds can be constructed as quotients of elliptically…

High Energy Physics - Theory · Physics 2015-06-17 Federico Bonetti , Thomas W. Grimm , Eran Palti , Tom G. Pugh

In this work we consider quotients of elliptically fibered Calabi-Yau threefolds by freely acting discrete groups and the associated physics of F-theory compactifications on such backgrounds. The process of quotienting a Calabi-Yau geometry…

High Energy Physics - Theory · Physics 2020-01-29 Lara B. Anderson , James Gray , Paul-Konstantin Oehlmann

We study the limit of Calabi-Yau modular forms, and in particular, those resulting in classical modular forms. We then study two parameter families of elliptically fibred Calabi-Yau fourfolds and describe the modular forms arising from the…

Algebraic Geometry · Mathematics 2015-11-05 Babak Haghighat , Hossein Movasati , Shing-Tung Yau

We study the relation between discrete gauge symmetries in F-theory compactifications and torsion homology on the associated Calabi-Yau manifold. Focusing on the simplest example of a $\mathbb Z_2$ symmetry, we show that there are two…

High Energy Physics - Theory · Physics 2015-01-14 Christoph Mayrhofer , Eran Palti , Oskar Till , Timo Weigand