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Related papers: F-Theory Compactifications with Multiple U(1)-Fact…

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In this brief note we explore the space of genus one and elliptic fibrations within CY manifolds, their organizing principles, and how they relate to the set of all CY manifolds. We provide examples of genus one fibered manifolds that…

High Energy Physics - Theory · Physics 2023-08-25 Lara B. Anderson , James Gray , Paul-Konstantin Oehlmann

We study gauge symmetry in F-theory in light of global aspects. For this, we consider not only a simple (local) group, but also a semi-simple group with Abelian factors. Once we specify the complete gauge group by decomposing the…

High Energy Physics - Theory · Physics 2010-02-23 Kang-Sin Choi

We consider compactifications of the N=1, d=6, E_8 theory on tori to five, four, and three dimensions and learn about some properties of this theory. As a by-product we derive the SL(2,\IZ) duality of the N=2, d=4, SU(2) theory with N_f=4.…

High Energy Physics - Theory · Physics 2009-09-15 Ori J. Ganor , David R. Morrison , Nathan Seiberg

We consider generic features of eleven dimensional supergravity compactified down to five dimensions on an arbitrary Calabi-Yau threefold.

High Energy Physics - Theory · Physics 2009-10-28 A. C. Cadavid , A. Ceresole , R. D'Auria , S. Ferrara

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

A construction of Calabi-Yaus as quotients of products of lower-dimensional spaces in the context of weighted hypersurfaces is discussed, including desingularisation. The construction leads to Calabi-Yaus which have a fiber structure, in…

Algebraic Geometry · Mathematics 2023-09-12 Bruce Hunt , Rolf Schimmrigk

We argue that compactifications on Calabi-Yau threefolds with vanishing Euler number yield effective four dimensional theories exhibiting (spontaneously broken) N=4 supersymmetry. To this end, we derive the low-energy effective action for…

High Energy Physics - Theory · Physics 2015-06-12 Amir-Kian Kashani-Poor , Ruben Minasian , Hagen Triendl

We study the dynamics of 5-dimensional gauge theory on $M_4\times S^1$ by compactifying type II/M theory on degenerate Calabi-Yau manifolds. We use the local mirror symmetry and shall show that the prepotential of the 5-dimensional SU(2)…

High Energy Physics - Theory · Physics 2010-11-19 Tohru Eguchi , Hiroaki Kanno

We present a systematic way of generating F-theory models dual to nonperturbative vacua (i.e., vacua with extra tensor multiplets) of heterotic E8xE8 strings compactified on K3, using hypersurfaces in toric varieties. In all cases, the…

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

We give a short review of a large class of warped string geometries, obtained via F-theory compactified on Calabi-Yau fourfolds, that upon reduction to 5 dimensions give consistent supersymmetric realizations of the RS compactification…

High Energy Physics - Theory · Physics 2010-04-06 Chang S. Chan , Percy L. Paul , Herman Verlinde

Based on mirror symmetry, we discuss geometric engineering of N=1 ADE quiver models from F-theory compactifications on elliptic K3 surfaces fibered over certain four-dimensional base spaces. The latter are constructed as intersecting…

High Energy Physics - Theory · Physics 2009-11-11 A. Belhaj , J. Rasmussen , A. Sebbar , M. B. Sedra

Filipazzi, Hacon and Svaldi proved that there are only finitely many topological types of elliptically fibered Calabi-Yau threefolds. We explore the implications of their results on the boundedness of the geometric quantities in the…

Algebraic Geometry · Mathematics 2023-07-28 Antonella Grassi

Six-dimensional supergravity theories with N=(1,0) supersymmetry must satisfy anomaly equations. These equations come from demanding the cancellation of gravitational, gauge and mixed anomalies. The anomaly equations have implications for…

High Energy Physics - Theory · Physics 2015-03-19 Daniel S. Park

In the framework of heterotic M-theory compactified on a Calabi-Yau threefold 'times' an interval, the relation between geometry and four-flux is derived {\it beyond first order}. Besides the case with general flux which cannot be described…

High Energy Physics - Theory · Physics 2014-11-18 Gottfried Curio , Axel Krause

In this paper, we reconsider the study of five-dimensional supersymmetric black branes in the context of the M-theory compactification on a special Calabi-Yau manifold called tetra-quadric, being realized as complete intersections of…

High Energy Physics - Theory · Physics 2025-05-20 Adil Belhaj , Abderrahim Bouhouch

F-theory compactifications on elliptic Calabi-Yau manifolds may be related to IIb compactifications by taking a certain limit in complex structure moduli space, introduced by A. Sen. The limit has been characterized on the basis of SL(2,Z)…

High Energy Physics - Theory · Physics 2012-12-20 A. Clingher , R. Donagi , M. Wijnholt

We determine the discrete gauge symmetries that arise in F-theory compactifications on examples of genus-one fibered Calabi-Yau 4-folds without a section. We construct genus-one fibered Calabi-Yau 4-folds using Fano manifolds, cyclic 3-fold…

High Energy Physics - Theory · Physics 2017-05-02 Yusuke Kimura

A class of abelian fibered Calabi-Yau threefolds X_{m,n} is shown yield SU(2) structure, in addition to the standard SU(3) holonomy. Compactification of type II string theory on a manifold in this class give a 4D effective supergravity…

High Energy Physics - Theory · Physics 2012-06-19 Michael B. Schulz

We construct, as hypersurfaces in toric varieties, Calabi-Yau manifolds corresponding to F-theory vacua dual to E8*E8 heterotic strings compactified to six dimensions on K3 surfaces with non-semisimple gauge backgrounds. These vacua were…

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

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
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