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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

We construct a set of chirality inducing G_4-fluxes in global F-theory compactifications on Calabi-Yau four-folds. Special emphasis is put on models with gauge group SU(5) x U(1)_X relevant in the context of F-theory GUT model building,…

High Energy Physics - Theory · Physics 2015-05-30 Sven Krause , Christoph Mayrhofer , Timo Weigand

In a previous study, we constructed a family of elliptic Calabi-Yau 4-folds possessing a geometric structure that allowed them to be split into a pair of rational elliptic 4-folds. In the present study, we introduce a method of classifying…

High Energy Physics - Theory · Physics 2024-01-08 Yusuke Kimura

We report the most general expression for the chiral charges of a non-universal $U(1)'$ with identical charges for the first two families but different charges for the third one. The model is minimal in the sense that only standard model…

High Energy Physics - Phenomenology · Physics 2017-06-21 Richard H. Benavides , Luis Alfredo Muñoz , William A. Ponce , Oscar Rodríguez , Eduardo Rojas

We study seven-brane SU(5) GUT models of string phenomenology which can be consistently analyzed in a purely local framework. The requirement that gravity can decouple constrains the form of four-dimensional physics as well as the geometry…

High Energy Physics - Theory · Physics 2012-06-12 Clay Cordova

We review aspects of N=1 duality between the heterotic string and F-theory. After a description of string duality intended for the non-specialist the framework and the constraints for heterotic/F-theory compactifications are presented. The…

High Energy Physics - Theory · Physics 2016-04-13 Bjorn Andreas

In this work we study the cancellation of non-perturbative anomalies of gravitational theories with gauge group $\mathbb{Z}_k$ in six dimensions. These subtle anomalies require a classification of deformation classes of manifolds with…

High Energy Physics - Theory · Physics 2025-04-07 Markus Dierigl , Michelangelo Tartaglia

We present novel continuous supersymmetric transitions which take place among different chiral configurations of D3/D7 branes at singularities in the context of type IIB Calabi-Yau compactifications. We find that distinct local models which…

High Energy Physics - Theory · Physics 2015-06-15 Michele Cicoli , Sven Krippendorf , Christoph Mayrhofer , Fernando Quevedo , Roberto Valandro

We extend previous work on N=2 Chern-Simons theories coupled to a single adjoint chiral superfield using localization techniques and the F-maximization principle. We provide tests of a series of proposed 3D Seiberg dualities and a new class…

High Energy Physics - Theory · Physics 2015-05-30 Takeshi Morita , Vasilis Niarchos

We show that a special type of colliding 7-brane configuration of a codimension-two singularity realizes not only a six-dimensional spectrum with exactly the same quantum numbers as that of the three-generation E7/(SU(5) x U(1)^3) coset…

High Energy Physics - Theory · Physics 2014-07-09 Shun'ya Mizoguchi

We study the constraints on five-dimensional N=1 heterotic M-theory imposed by a consistent anomaly-free coupling of bulk and boundary theory. This requires analyzing the cancellation of triangle gauge anomalies on the four-dimensional…

High Energy Physics - Theory · Physics 2009-10-31 Andre Lukas , K. S. Stelle

F-theory compactified on a Calabi-Yau fourfold naturally describes non-Abelian gauge symmetries through the singularity structure of the elliptic fibration. In contrast Abelian symmetries are more difficult to study because of their…

High Energy Physics - Theory · Physics 2015-05-28 Thomas W. Grimm , Max Kerstan , Eran Palti , Timo Weigand

We construct compact examples of D-manifolds for type IIB strings. The construction has a natural interpretation in terms of compactification of a 12 dimensional `F-theory'. We provide evidence for a more natural reformulation of type IIB…

High Energy Physics - Theory · Physics 2009-07-09 Cumrun Vafa

We study the 'Large Volume Scenario' on explicit, new, compact, four-modulus Calabi-Yau manifolds. We pay special attention to the chirality problem pointed out by Blumenhagen, Moster and Plauschinn. Namely, we thoroughly analyze the…

High Energy Physics - Theory · Physics 2009-07-24 Andres Collinucci , Maximilian Kreuzer , Christoph Mayrhofer , Nils-Ole Walliser

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 intersections, and the implication…

High Energy Physics - Theory · Physics 2018-09-26 Lakshya Bhardwaj , David R. Morrison , Yuji Tachikawa , Alessandro Tomasiello

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 study infinite-distance limits in the complex structure moduli space of elliptic Calabi-Yau threefolds. In F-theory compactifications to six dimensions, such limits include infinite-distance trajectories in the non-perturbative open…

High Energy Physics - Theory · Physics 2025-02-26 Rafael Álvarez-García , Seung-Joo Lee , Timo Weigand

A new flipped $SU(3)_C\otimes SU(4)_L\otimes U(1)_X$ model without exotic electric charges is proposed. All the quarks families are arranged in the same representation while leptons generations are in different representations leading to a…

High Energy Physics - Phenomenology · Physics 2021-07-19 Meriem Djouala , Noureddine Mebarki , Habib Aissaoui

We consider theories with gauged chiral fermions in which there are abelian anomalies, and no nonabelian anomalies (but there may be nonabelian gauge fields present). We construct an associated theory that is gauge invariant,…

High Energy Physics - Theory · Physics 2008-02-03 Paul Federbush

We discuss the role of hyperelliptic fibrations in F-theory. For each even integer $n$ we give a noncompact Calabi--Yau threefold $X$ containing a hyperelliptically fibered surface $Y$, such that $X$ and $Y$ are homotopy equivalent and…

High Energy Physics - Theory · Physics 2025-03-06 E. Ballico , E. Gasparim , M. P. García del Moral , C. las Heras