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We compute Yukawa couplings involving chiral matter fields in toroidal compactifications of higher dimensional super-Yang-Mills theory with magnetic fluxes. Specifically we focus on toroidal compactifications of D=10 super-Yang-Mills…

High Energy Physics - Theory · Physics 2010-11-19 D. Cremades , L. E. Ibanez , F. Marchesano

In this paper, we show that the presence of gauge fields in heterotic Calabi-Yau compacitifications causes the stabilisation of some, or all, of the complex structure moduli of the Calabi-Yau manifold while maintaining a Minkowski vacuum.…

High Energy Physics - Theory · Physics 2011-03-02 Lara B. Anderson , James Gray , Andre Lukas , Burt Ovrut

A type IIA string (or F-theory) compactified on a Calabi-Yau threefold is believed to be dual to a heterotic string on a K3 surface times a 2-torus (or on a K3 surface). We consider how the resulting moduli space of hypermultiplets is…

High Energy Physics - Theory · Physics 2010-02-03 Paul S. Aspinwall

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

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

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 review the duality between heterotic and F--theory string vacua with N=1 space-time supersymmetry in eight, six and four dimensions. In particular, we discuss two chains of four-dimensional F--theory/heterotic dual string pairs, where…

High Energy Physics - Theory · Physics 2009-10-07 Dieter Lust

Heterotic vacua of string theory are realised, at large radius, by a compact threefold with vanishing first Chern class together with a choice of stable holomorphic vector bundle. These form a wide class of potentially realistic…

High Energy Physics - Theory · Physics 2017-10-11 Philip Candelas , Xenia de la Ossa , Jock McOrist

An explicit description of the spectral data of stable U(n) vector bundles on elliptically fibered Calabi-Yau threefolds is given, extending previous work of Friedman, Morgan and Witten. The characteristic classes are computed and it is…

High Energy Physics - Theory · Physics 2014-11-18 Bjorn Andreas , Daniel Hernandez Ruiperez

A type IIA string compactified on a Calabi-Yau manifold which admits a K3 fibration is believed to be equivalent to a heterotic string in four dimensions. We study cases where a Calabi-Yau manifold can have more than one such fibration…

High Energy Physics - Theory · Physics 2009-10-30 Paul S. Aspinwall , Mark Gross

We study heterotic Calabi-Yau models with hypercharge flux breaking, where the visible E8 gauge group is directly broken to the standard model group by a non-flat gauge bundle, rather than by a two-step process involving an intermediate…

High Energy Physics - Theory · Physics 2015-06-23 Lara B. Anderson , Andrei Constantin , Seung-Joo Lee , Andre Lukas

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 two aspects of the physics of heterotic Line Bundle Standard Models on smooth Calabi-Yau threefolds. First, we investigate to what degree modern moduli stabilization scenarios can affect the standard model spectrum in such…

High Energy Physics - Theory · Physics 2020-01-08 James Gray , Juntao Wang

We consider four-dimensional supersymmetric compactifications of the E8 x E8 heterotic string on Calabi-Yau manifolds endowed with vector bundles with structure group SU(N) x U(1) and five-branes. After evaluating the Green-Schwarz…

High Energy Physics - Theory · Physics 2008-11-26 Ralph Blumenhagen , Sebastian Moster , Timo Weigand

We study compactifications of F-theory on certain Calabi--Yau threefolds. We find that $N=2$ dualities of type II/heterotic strings in 4 dimensions get promoted to $N=1$ dualities between heterotic string and F-theory in 6 dimensions. The…

High Energy Physics - Theory · Physics 2009-10-30 David R. Morrison , Cumrun Vafa

We provide the methods to compute the complete massless spectra of a class of recently introduced supersymmetric E8 x E8 heterotic string models which invoke vector bundles with U(N) structure group on simply connected Calabi-Yau manifolds…

High Energy Physics - Theory · Physics 2010-10-27 Ralph Blumenhagen , Sebastian Moster , Rene Reinbacher , Timo Weigand

We show that non-trivial SU(3) structures can be constructed on large classes of Calabi-Yau three-folds. Specifically, we focus on Calabi-Yau three-folds constructed as complete intersections in products of projective spaces, although we…

High Energy Physics - Theory · Physics 2019-02-20 Magdalena Larfors , Andre Lukas , Fabian Ruehle

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

Numerical approximations to Ricci-flat Calabi--Yau metrics make it possible to move beyond the topological and holomorphic data that have traditionally dominated explicit string compactifications. This article explains what new physics and…

High Energy Physics - Theory · Physics 2026-05-25 Per Berglund , Tristan Hübsch , Vishnu Jejjala

We study the possibility of obtaining metastable de Sitter vacua of heterotic string theory compactified on a Calabi-Yau threefold which are classical and simple in the K\"ahler moduli sector of the theory. For this, we exploit a known…

High Energy Physics - Theory · Physics 2013-05-08 Dirk Rathlev