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Related papers: Compact heterotic orbifolds in blow-up

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We describe field-theory T^2/Z_n orbifolds that offer new ways of breaking SU(N) to lower rank subgroups. We introduce a novel way of embedding the point group into the gauge group, beyond the usual mapping of torus and root lattices. For…

High Energy Physics - Theory · Physics 2008-11-26 Gero von Gersdorff

Recently, an attractive model of GUT breaking has been proposed in which a 5 dimensional supersymmetric SU(5) gauge theory on an S^1/(Z_2\times Z_2') orbifold is broken down to the 4d MSSM by SU(5)-violating boundary conditions. Motivated…

High Energy Physics - Phenomenology · Physics 2014-11-17 Arthur Hebecker , John March-Russell

We study possible correlations between properties of the observable and hidden sectors in heterotic string theory. Specifically, we analyze the case of the Z6-II orbifold compactification which produces a significant number of models with…

The compactification from the 11-dimensional Horava-Witten orbifold to 5-dimensional heterotic M-theory on a Schoen Calabi-Yau threefold is reviewed, as is the specific $SU(4)$ vector bundle leading to the "heterotic standard model" in the…

High Energy Physics - Theory · Physics 2020-02-17 Burt A. Ovrut

We provide a detailed study of the phenomenology of orbifold compactifications of the heterotic string within the context of supergravity effective theories. Our investigation focuses on those models where the soft Lagrangian is dominated…

High Energy Physics - Phenomenology · Physics 2009-01-07 Pierre Binetruy , Andreas Birkedal-Hansen , Yann Mambrini , Brent D. Nelson

This paper aims to derive new anomaly cancellation formulas by combining modular forms with E8 and E8*E8 bundles. To this end, we systematically twist and generalize known SL(2,Z) modular forms to define new modular forms associated with…

Differential Geometry · Mathematics 2026-01-27 Siyao Liu , Yong 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

From the string partition function, we discuss the mass-shell and GSO projection conditions valid for Kaluza-Klein (KK) as well as massless states in the heterotic string theory compactified on a nonprime orbifold. Based on the obtained…

High Energy Physics - Phenomenology · Physics 2009-02-02 Bumseok Kyae

We demonstrate how to find modular discrete symmetry groups for $Z_N$ orbifolds. The $Z_7$ orbifold is treated in detail as a non-trivial example of a $(2,2)$ orbifold model. We give the generators of the modular group for this case which,…

High Energy Physics - Theory · Physics 2015-06-26 J. Erler , M. Spalinski

We study grand unified models in the five-dimensional space-time where the extra dimension is compactified on $S^1/Z_2$. The spontaneous breaking of unified gauge symmetries is achieved via vacuum expectation values of the extra-dimensional…

High Energy Physics - Phenomenology · Physics 2017-06-28 Kentaro Kojima , Kazunori Takenaga , Toshifumi Yamashita

It is argued that a phenomenologically viable grand unification model from superstring is $SU(3)^3$, the simplest gauge group among the grand unifications of the electroweak hypercharge embedded in semi-simple groups. We construct a…

High Energy Physics - Theory · Physics 2009-11-10 Jihn E. Kim

We analyze heterotic line bundle models on elliptically fibered Calabi-Yau three-folds over weak Fano bases. In order to facilitate Wilson line breaking to the standard model group, we focus on elliptically fibered three-folds with a second…

High Energy Physics - Theory · Physics 2018-05-09 Andreas P. Braun , Callum R. Brodie , 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 study $E_8 \times E_8$-heterotic string on asymmetric orbifolds associated with semi-simple simply-laced Lie algebras. Using the fact that $E_6$-model allows different twists, we present a new N=1 space-time supersymmetric model whose…

High Energy Physics - Theory · Physics 2010-11-01 Yasumasa Imamura

We construct new 1/2 supersymmetric solutions in D=3, N=2, matter coupled, U(1) gauged supergravities and study some of their properties. We do this by employing a quite general supersymmetry breaking condition, from which we also redrive…

High Energy Physics - Theory · Physics 2009-11-11 Nihat Sadik Deger , Ozgur Sarioglu

In this paper, we continue the analysis of heterotic string compactifications on half-flat mirror manifolds by including the 10-dimensional gauge fields. It is argued, that the heterotic Bianchi identity is solved by a variant of the…

High Energy Physics - Theory · Physics 2009-11-18 Sebastien Gurrieri , Andre Lukas , Andrei Micu

Six-dimensional orbifold models where the Higgs field is identified with some internal component of a gauge field are considered. We classify all possible T^2/Z_N orbifold constructions based on a SU(3) electroweak gauge symmetry. Depending…

High Energy Physics - Theory · Physics 2014-11-18 C. A. Scrucca , M. Serone , L. Silvestrini , A. Wulzer

Orbifold compactification of heterotic E8 x E8 string theory is a source for promising grand unified model building. It can accommodate the successful aspects of grand unification while avoiding problems like doublet-triplet splitting in…

High Energy Physics - Theory · Physics 2008-11-26 Stefan Forste , Hans Peter Nilles , Patrick K. S. Vaudrevange , Akin Wingerter

We report on some recent progress in understanding heterotic flux compactifications, from a worldsheet perspective mainly. We consider local models consisting in torus fibration over warped Eguchi-Hanson space and non-K\"ahler resolved…

High Energy Physics - Theory · Physics 2011-09-28 Luca Carlevaro , Dan Israel

It is an important question in string compactification whether complex structure moduli stabilization inevitably ends up with a vacuum expectation value of the superpotential < W > of the order of the Planck scale cubed. Any thoughts on…

High Energy Physics - Theory · Physics 2021-01-27 Keita Kanno , Taizan Watari