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We construct heterotic string backgrounds corresponding to families of homogeneous spaces as exact conformal field theories. They contain left cosets of compact groups by their maximal tori supported by NS-NS 2-forms and gauge field fluxes.…

High Energy Physics - Theory · Physics 2009-11-10 Dan Israel , Costas Kounnas , Domenico Orlando , P. Marios Petropoulos

Within the context of the weakly coupled E8 x E8 heterotic string, we study the hidden sector of heterotic standard model compactifications to four-dimensions. Specifically, we present a class of hidden sector vector bundles - composed of…

High Energy Physics - Theory · Physics 2015-06-12 Volker Braun , Yang-Hui He , Burt A. Ovrut

In this Thesis we investigate properties of stability, rigidity and unitarity of the string landscape in ten and lower dimensions. The dissertation explores these aspects by intertwining a detailed analysis of string vacua, with and without…

High Energy Physics - Theory · Physics 2024-08-02 Giorgio Leone

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 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

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 investigate the connections between four-dimensional, N=2 M-theory vacua constructed as orbifolds of type II, heterotic, and type I strings. All these models have the same massless spectrum, which contains an equal number of vector…

High Energy Physics - Theory · Physics 2009-10-31 Andrea Gregori , Costas Kounnas

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

The duality between $E_8\times E_8$ heteritic string on manifold $K3\times T^2$ and Type IIA string compactified on a Calabi-Yau manifold induces a correspondence between vector bundles on $K3\times T^2$ and Calabi-Yau manifolds. Vector…

High Energy Physics - Theory · Physics 2020-04-21 T. V. Obikhod

We perform a systematic analysis of moduli stabilisation for weakly coupled heterotic string theory compactified on manifolds which are Calabi-Yau up to alpha' effects. We review how to fix all geometric and bundle moduli in a…

High Energy Physics - Theory · Physics 2015-06-15 Michele Cicoli , Senarath de Alwis , Alexander Westphal

The heterotic $SU(3)$ system, also known as the Hull--Strominger system, arises from compactifications of heterotic string theory to six dimensions. This paper investigates the local structure of the moduli space of solutions to this system…

Differential Geometry · Mathematics 2025-03-31 Hannah de Lázari , Jason D. Lotay , Henrique Sá Earp , Eirik Eik Svanes

We review a systematic construction of $\cx N=1$ supersymmetric heterotic string vacua using mirror symmetry. The method provides a large class of explicit solutions for stable, holomorphic vector bundles on Calabi-Yau n-folds Z_n in terms…

High Energy Physics - Theory · Physics 2007-05-23 P. Mayr

In this article we summarize and extend the ideas and investigations on so called target space dualities of heterotic models with (0,2) worldsheet supersymmetry as they were partly presented on the String-Math 2011 conference. After the…

High Energy Physics - Theory · Physics 2012-11-05 Thorsten Rahn

We suggest that compactifications on Anti-de-Sitter (AdS) spaces of type IIA, IIB, heterotic strings and eleven dimensional vacuua of M-theory are related by a combination of $T$ and strong/weak dualities. Maldacena conjecture relates then…

High Energy Physics - Theory · Physics 2007-05-23 Karim Benakli

This thesis is concerned with heterotic E8 x E8 string models that can produce quasirealistic N = 1 supersymmetric extensions of the Standard Model in the low-energy limit. We start rather generally by deriving the four-dimensional spectrum…

High Energy Physics - Theory · Physics 2022-04-05 Stefan Blesneag

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

In this article we review four-dimensional string vacua with N=2 space-time supersymmetry. In particular, we will discuss several aspects of the string-string duality between the heterotic string, compactified on $K3\times T^2$, and the…

High Energy Physics - Theory · Physics 2015-06-26 Dieter Lust

We consider the compactification of the E8xE8 heterotic string on a K3 surface with "the spin connection embedded in the gauge group" and the dual picture in the type IIA string (or F-theory) on a Calabi-Yau threefold X. It turns out that…

High Energy Physics - Theory · Physics 2008-11-26 Paul S. Aspinwall , Ron Y. Donagi

The condition of having an $N=1$ spacetime supersymmetry for heterotic string leads to 4 distinct possibilities for compactifications namely compactifications down to 6,4,3 and 2 dimensions. Compactifications to 6 and 4 dimensions have been…

High Energy Physics - Theory · Physics 2010-11-01 S. L. Shatashvili , C. Vafa

We present a 6D orbifold model on $T^2/\Z2$ which emerges as intermediate step in the compactification of the heterotic string to the supersymmetric standard model in four dimensions. It has $\SU6$ gauge symmetry in the bulk and two pairs…

High Energy Physics - Theory · Physics 2008-11-26 Jonas Schmidt