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Related papers: F-theory on Genus-One Fibrations

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We explore 6-dimensional compactifications of F-theory exhibiting (2,0) superconformal theories coupled to gravity that include discretely charged superconformal matter. Beginning with F-theory geometries with Abelian gauge fields and…

High Energy Physics - Theory · Physics 2018-07-17 Lara B. Anderson , Antonella Grassi , James Gray , Paul-Konstantin Oehlmann

We present a novel technique to obtain base independent expressions for the matter loci of fibrations of complete intersection Calabi-Yau onefolds in toric ambient spaces. These can be used to systematically construct elliptically and genus…

High Energy Physics - Theory · Physics 2019-12-24 Paul-Konstantin Oehlmann , Thorsten Schimannek

While M- and F-theory compactifications describe a much larger class of vacua than perturbative string compactifications, they typically need singularities to generate non-abelian gauge fields and charged matter. The physical explanation…

High Energy Physics - Theory · Physics 2023-10-10 R. Donagi , M. Wijnholt

The presence of non-Abelian discrete gauge symmetries in four-dimensional F-theory compactifications is investigated. Such symmetries are shown to arise from seven-brane configurations in genuine F-theory settings without a weak string…

High Energy Physics - Theory · Physics 2016-03-23 Thomas W. Grimm , Tom G. Pugh , Diego Regalado

We derive the anomaly 8-form of 6-dimensional gauge theories arising in F theory compactifications on elliptic Calabi-Yau threefolds. The result allows to determine the matter content of certain such theories in terms of intersection…

High Energy Physics - Theory · Physics 2009-10-30 Vladimir Sadov

We introduce a new model for elliptic fibrations endowed with a Mordell-Weil group of rank one. We call it a Q$_7(\mathscr{L},\mathscr{S})$ model. It naturally generalizes several previous models of elliptic fibrations popular in the…

High Energy Physics - Theory · Physics 2014-10-02 Mboyo Esole , Monica Jinwoo Kang , Shing-Tung Yau

In this work we explore the physics associated to Calabi-Yau (CY) n-folds that can be described as a fibration in more than one way. Beginning with F-theory vacua in various dimensions, we consider limits/dualities with M-theory, type IIA,…

High Energy Physics - Theory · Physics 2016-11-23 Lara B. Anderson , Xin Gao , James Gray , Seung-Joo Lee

We study M-theory compactified on a specific class of seven-dimensional manifolds with SU(3) structure. The manifolds can be viewed as a fibration of an arbitrary Calabi-Yau threefold over a circle, with a U-duality twist around the circle.…

High Energy Physics - Theory · Physics 2009-09-29 Ofer Aharony , Micha Berkooz , Jan Louis , Andrei Micu

We characterize compact eight-manifolds M which arise as internal spaces in N=1 flux compactifications of M-theory down to AdS3 using the theory of foliations, for the case when the internal part of the supersymmetry generator is everywhere…

High Energy Physics - Theory · Physics 2015-02-11 Elena Mirela Babalic , Calin Iuliu Lazaroiu

In the case of F-theory compactifications on genus-one fibrations without section there are naturally appearing discrete symmetries, which we argue to be associated to geometrically massive U(1) gauge symmetries. These discrete symmetries…

High Energy Physics - Theory · Physics 2015-06-22 Iñaki García-Etxebarria , Thomas W. Grimm , Jan Keitel

We explore higher-form symmetries of M- and F-theory compactified on elliptic fibrations, determined by the topology of their asymptotic boundaries. The underlying geometric structures are shown to be equivalent to known characterizations…

High Energy Physics - Theory · Physics 2022-01-05 Mirjam Cvetic , Markus Dierigl , Ling Lin , Hao Y. Zhang

In this work we study F-theory on symmetric toroidal orbifolds that exhibit roto-translations, which are point group rotations accompanied by fractional lattice shifts. These geometries admit a rich class of effects, such as twisted affine…

High Energy Physics - Theory · Physics 2021-11-17 Finn Bjarne Kohl , Magdalena Larfors , Paul-Konstantin Oehlmann

We construct a general class of Calabi--Yau threefolds from fiber products of rational elliptic surfaces with section, generalizing a construction of Schoen to include all Kodaira fiber types. The resulting threefolds each have two elliptic…

High Energy Physics - Theory · Physics 2016-11-21 David R. Morrison , Daniel S. Park , Washington Taylor

We explore a large class of F-theory compactifications to four dimensions. We find evidence that gauge groups that cannot be Higgsed without breaking supersymmetry, often accompanied by associated matter fields, are a ubiquitous feature in…

High Energy Physics - Theory · Physics 2015-10-28 James Halverson , Washington Taylor

This article explores possible embeddings of the Standard Model gauge group and its matter representations into F-theory. To this end we construct elliptic fibrations with gauge group SU(3)xSU(2)xU(1)xU(1) as suitable restrictions of a…

High Energy Physics - Theory · Physics 2015-11-26 Ling Lin , Timo Weigand

We investigate F-theory on an elliptic Calabi-Yau 4-fold without a section to the fibration. To construct an elliptic Calabi-Yau 4-fold without a section, we introduce families of elliptic K3 surfaces which do not admit a section. A product…

High Energy Physics - Theory · Physics 2016-03-10 Yusuke Kimura

Using F-theory we construct 4D ${\cal N}=1$ SUGRA theories with the Standard Model gauge group, three chiral generations, and matter parity in order to forbid all dimension four baryon and lepton number violating operators. The underlying…

High Energy Physics - Theory · Physics 2018-10-17 Mirjam Cvetič , Ling Lin , Muyang Liu , Paul-Konstantin Oehlmann

Auroux, Donaldson and Katzarkov introduced broken Lefschetz fibrations as a generalization of Lefshcetz fibrations in order to describe near-symplectic 4-manifolds. We first study monodromy representations of higher sides of genus-1…

Geometric Topology · Mathematics 2015-03-17 Kenta Hayano

F-theory compactifications on elliptically fibered Calabi--Yau threefolds yield consistent six-dimensional $\mathcal{N}=(1,0)$ supergravity theories, for which the cancellation of gravitational, gauge and mixed anomalies imposes non-trivial…

High Energy Physics - Theory · Physics 2025-12-23 Cesar Fierro Cota

The four-dimensional N=1 effective action of F-theory compactified on a Calabi-Yau fourfold is studied by lifting a three-dimensional M-theory compactification. The lift is performed by using T-duality realized via a Legendre transform on…

High Energy Physics - Theory · Physics 2011-01-04 Thomas W. Grimm