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In a certain strong coupling limit, compactification of the $E_8\times E_8$ heterotic string on a Calabi-Yau manifold $X$ can be described by an eleven-dimensional theory compactified on $X\times \S^1/\Z_2$. In this limit, the usual…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

The heterotic string compactified on an (n-1)-dimensional elliptically fibered Calabi-Yau Z-->B is conjectured to be dual to F-theory compactified on an n-dimensional Calabi-Yau X-->B, fibered over the same base with elliptic K3 fibers. In…

High Energy Physics - Theory · Physics 2007-05-23 Ron Y. Donagi

It is well-known that heterotic string compactifications have, in spite of their conceptual simplicity and aesthetic appeal, a serious problem with precision gauge coupling unification in the perturbative regime of string theory. Using both…

High Energy Physics - Theory · Physics 2009-02-20 A. Hebecker , M. Trapletti

We provide the first explicit example of Type IIB string theory compactification on a globally defined Calabi-Yau threefold with torsion which results in a four-dimensional effective theory with a non-Abelian discrete gauge symmetry. Our…

High Energy Physics - Theory · Physics 2017-09-13 Volker Braun , Mirjam Cvetic , Ron Donagi , Maximilian Poretschkin

We present a numerical computation, based on neural network techniques, of the physical Yukawa couplings in a heterotic string theory compactification on a smooth Calabi-Yau threefold with non-standard embedding. The model belongs to a…

High Energy Physics - Theory · Physics 2025-05-19 Andrei Constantin , Kit Fraser-Taliente , Thomas R. Harvey , Andre Lukas , Burt Ovrut

Explicit methods are presented for computing the cohomology of stable, holomorphic vector bundles on elliptically fibered Calabi-Yau threefolds. The complete particle spectrum of the low-energy, four-dimensional theory is specified by the…

High Energy Physics - Theory · Physics 2010-11-19 Ron Donagi , Yang-Hui He , Burt A. Ovrut , Rene Reinbacher

We compute the one-loop gauge couplings in six-dimensional non-Abelian gauge theories on the T^2/Z_2 orbifold with general GUT breaking boundary conditions. For concreteness, we apply the obtained general formulae to the gauge coupling…

High Energy Physics - Phenomenology · Physics 2014-11-18 Hyun Min Lee

The systematic program of heterotic line bundle model building has resulted in a wealth of standard-like models (SLM) for particle physics. In this paper, we continue this work in the setting of generalised Complete Intersection Calabi Yau…

High Energy Physics - Theory · Physics 2021-06-02 Magdalena Larfors , Davide Passaro , Robin Schneider

We study string loop corrections to the gravity kinetic terms in type IIB compactifications on Calabi-Yau threefolds or their orbifold limits, in the presence of $D7$-branes and orientifold planes. We show that they exhibit in general a…

High Energy Physics - Theory · Physics 2020-01-29 Ignatios Antoniadis , Yifan Chen , George K. Leontaris

Within the context of the E_8 x E_8 heterotic superstring compactified on a smooth Calabi-Yau threefold with an SU(4) gauge instanton, we show the existence of simple, realistic N=1 supersymmetric vacua that are compatible with low energy…

High Energy Physics - Theory · Physics 2008-11-26 Volker Braun , Yang-Hui He , Burt A. Ovrut , Tony Pantev

We discuss a duality of (0,2) heterotic string vacua which implies that certain pairs of (0,2) Calabi-Yau compactifications on topologically distinct target manifolds yield identical string theories. Some complex structure moduli in one…

High Energy Physics - Theory · Physics 2016-09-06 Jacques Distler , Shamit Kachru

We study, as hypersurfaces in toric varieties, elliptic Calabi-Yau fourfolds for F-theory compactifications dual to E8xE8 heterotic strings compactified to four dimensions on elliptic Calabi-Yau threefolds with some choice of vector bundle.…

High Energy Physics - Theory · Physics 2009-10-31 Govindan Rajesh

We examine to what extent heterotic string worldsheets can describe arbitrary E8xE8 gauge fields. The traditional construction of heterotic strings builds each E8 via a Spin(16)/Z2 subgroup, typically realized as a current algebra by…

High Energy Physics - Theory · Physics 2016-10-04 J. Distler , E. Sharpe

In this paper we analyze the structure of supersymmetric vacua in compactifications of the heterotic string on certain manifolds with SU(3) structure. We first study the effective theories obtained from compactifications on half-flat…

High Energy Physics - Theory · Physics 2010-12-03 Beatriz de Carlos , Sebastien Gurrieri , Andre Lukas , Andrei Micu

We study a class of extremal transitions between topological distinct Calabi--Yau manifolds which have an interpretation in terms of the special massless states of a type II string compactification. In those cases where a dual heterotic…

High Energy Physics - Theory · Physics 2009-10-30 A. Klemm , P. Mayr

We analyze three aspects of N=1 heterotic string compactifications on elliptically fibered Calabi-Yau threefolds: stability of vector bundles, five-brane instanton transitions and chiral matter. First we show that relative Fourier-Mukai…

High Energy Physics - Theory · Physics 2011-08-17 Bjorn Andreas , Daniel Hernandez Ruiperez

The modular symmetries of string loop threshold corrections for gauge coupling constants are studied in the presence of discrete Wilson lines for all examples of abelian orbifolds, where the point group is realised by the action of Coxeter…

High Energy Physics - Theory · Physics 2014-11-18 A. Love , S. Todd

A complete analysis of all heterotic Calabi-Yau compactifications based on positive two-term monad bundles over favourable complete intersection Calabi-Yau threefolds is performed. We show that the original data set of about 7000 models…

High Energy Physics - Theory · Physics 2014-11-20 Lara B. Anderson , James Gray , Yang-Hui He , Andre Lukas

In a previous paper, we introduced a heterotic standard model and discussed its basic properties. This vacuum has the spectrum of the MSSM with one additional pair of Higgs-Higgs conjugate fields and a small number of uncharged moduli. In…

High Energy Physics - Theory · Physics 2010-02-03 Volker Braun , Yang-Hui He , Burt A. Ovrut , Tony Pantev

We describe a family of genus one fibered Calabi-Yau threefolds with fundamental group ${\mathbb Z}/2$. On each Calabi-Yau $Z$ in the family we exhibit a positive dimensional family of Mumford stable bundles whose symmetry group is the…

Algebraic Geometry · Mathematics 2008-11-26 Ron Donagi , Burt Ovrut , Tony Pantev , Dan Waldram
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