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Phenomenological implications of the volume of the Calabi-Yau threefolds on the hidden and observable M-theory boundaries, together with slope stability of their corresponding vector bundles, constrain the set of Kaehler moduli which give…

High Energy Physics - Theory · Physics 2008-11-26 Tomas L. Gomez , Sergio Lukic , Ignacio Sols

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 introduce a new heterotic Standard Model which has precisely the spectrum of the Minimal Supersymmetric Standard Model (MSSM), with no exotic matter. The observable sector has gauge group SU(3) x SU(2) x U(1). Our model is obtained from…

High Energy Physics - Theory · Physics 2008-11-26 Vincent Bouchard , Ron Donagi

We undertake a systematic scan of vector bundles over spaces from the largest database of known Calabi-Yau three-folds, in the context of heterotic string compactification. Specifically, we construct positive rank five monad bundles over…

High Energy Physics - Theory · Physics 2015-05-30 Yang-Hui He , Maximilian Kreuzer , Seung-Joo Lee , Andre Lukas

This paper discusses the dilaton, K\"ahler moduli and hidden sector matter chiral superfields of heterotic $M$-theory vacua in which the hidden sector gauge bundle is chosen to be a line bundle with an anomalous U(1) structure group. For…

High Energy Physics - Theory · Physics 2022-01-06 Sebastian Dumitru , Burt A. Ovrut

We construct heterotic standard models by compactifying on smooth Calabi-Yau three-folds in the presence of purely Abelian internal gauge fields. A systematic search over complete intersection Calabi-Yau manifolds with less than six Kahler…

High Energy Physics - Theory · Physics 2015-05-28 Lara B. Anderson , James Gray , Andre Lukas , Eran Palti

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

Stable, holomorphic vector bundles are constructed on an torus fibered, non-simply connected Calabi-Yau threefold using the method of bundle extensions. Since the manifold is multiply connected, we work with equivariant bundles on the…

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

We give a proof of the existence of $G=SU(5)$, stable holomorphic vector bundles on elliptically fibered Calabi--Yau threefolds with fundamental group $\bbz_2$. The bundles we construct have Euler characteristic 3 and an anomaly that can be…

High Energy Physics - Theory · Physics 2010-02-03 Ron Donagi , Burt Ovrut , Tony Pantev , Dan Waldram

In a previous publication, arXiv:1106.4804, we have found 200 models from heterotic Calabi-Yau compactifications with line bundles, which lead to standard models after taking appropriate quotients by a discrete symmetry and introducing…

High Energy Physics - Theory · Physics 2015-06-04 Lara B. Anderson , James Gray , Andre Lukas , Eran Palti

The compactification from the eleven-dimensional Ho\v{r}ava-Witten orbifold to five-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…

High Energy Physics - Theory · Physics 2021-05-27 Anthony Ashmore , Sebastian Dumitru , Burt A. Ovrut

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 calculate, at the classical level, the superpotential tri-linear couplings of the only known globally consistent heterotic minimal supersymmetric Standard Model [ hep-th/0512149 ]. This recently constructed model is based on a…

High Energy Physics - Theory · Physics 2008-11-26 Vincent Bouchard , Mirjam Cvetic , Ron Donagi

In this paper, we present a formalism for computing the non-vanishing Higgs mu-terms in a heterotic standard model. This is accomplished by calculating the cubic product of the cohomology groups associated with the vector bundle moduli…

High Energy Physics - Theory · Physics 2010-12-03 Volker Braun , Yang-Hui He , Burt A. Ovrut , Tony Pantev

A formalism for determining the massless spectrum of a class of realistic heterotic string vacua is presented. These vacua, which consist of SU(5) holomorphic bundles on torus-fibered Calabi-Yau threefolds with fundamental group Z_2, lead…

High Energy Physics - Theory · Physics 2009-11-10 Ron Donagi , Yang-Hui He , Burt A. Ovrut , Rene Reinbacher

We show the existence of realistic vacua in string theory whose observable sector has exactly the matter content of the MSSM. This is achieved by compactifying the E_8 x E_8 heterotic superstring on a smooth Calabi-Yau threefold with an…

High Energy Physics - Theory · Physics 2011-05-05 Volker Braun , Yang-Hui He , Burt A. Ovrut , Tony Pantev

This thesis contributes with a number of topics to the subject of string compactifications. In the first half of the work, I discuss the Hodge plot of Calabi-Yau threefolds realised as hypersurfaces in toric varieties. The intricate…

High Energy Physics - Theory · Physics 2018-09-28 Andrei Constantin

We discuss the use of gauge fields to stabilize complex structure moduli in Calabi-Yau three-fold compactifications of heterotic string and M-theory. The requirement that the gauge fields in such models preserve supersymmetry leads to a…

High Energy Physics - Theory · Physics 2013-04-10 Lara B. Anderson , James Gray , Andre Lukas , Burt Ovrut

A procedure for computing the dimensions of the moduli spaces of reducible, holomorphic vector bundles on elliptically fibered Calabi-Yau threefolds X is presented. This procedure is applied to poly-stable rank n+m bundles of the form V +…

High Energy Physics - Theory · Physics 2009-11-10 Yang-Hui He , Burt A. Ovrut , Rene Reinbacher

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
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