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Related papers: On heterotic model constraints

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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

Heterotic orbifolds provide promising constructions of MSSM-like models in string theory. We investigate the connection of such orbifold models with smooth Calabi-Yau compactifications by examining resolutions of the T^6/Z6-II orbifold…

High Energy Physics - Theory · Physics 2011-02-15 Stefan Groot Nibbelink , Johannes Held , Fabian Ruehle , Michele Trapletti , Patrick K. S. Vaudrevange

We perform model searches on smooth Calabi-Yau compactifications for both the supersymmetric E8xE8 and SO(32) as well as for the non-supersymmetric SO(16)xSO(16) heterotic strings simultaneously. We consider line bundle backgrounds on both…

High Energy Physics - Theory · Physics 2016-01-20 Stefan Groot Nibbelink , Orestis Loukas , Fabian Ruehle

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

The SO(10) embedding of the Standard Model spectrum is supported by evidence for neutrino masses. This thesis adapts the available formalism to study a class of heterotic M-theory vacua with SO(10) grand unification group. Compactification…

High Energy Physics - Theory · Physics 2017-08-23 Richard S. Garavuso

We introduce a class of (0,2) superconformal field theories based on hybrid geometries, generalizing various known constructions. We develop techniques for the computation of the complete massless spectrum when the theory can be interpreted…

High Energy Physics - Theory · Physics 2018-10-17 Marco Bertolini , M. Ronen Plesser

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 paper, by refining approximation theorems for holomorphic sections of adjoint line bundles, it is proved that the regular locus of a weakly pseudoconvex complex space admitting a positive line bundle can be holomorphically embedded…

Complex Variables · Mathematics 2025-12-30 Yuta Watanabe

We reconsider the ingredients of moduli stabilization in heterotic M-theory. On this line we close a gap in the literature deriving the Kaehler potential dependence on vector bundle moduli and charged matter. Crucial in this derivation is…

High Energy Physics - Theory · Physics 2008-11-26 Filipe Paccetti Correia , Michael G. Schmidt

The compactification of the heterotic string on six-dimensional orbifolds is reviewed. Some important technical aspects of their construction are clarified and new parameters, called generalized discrete torsion, are introduced and related…

High Energy Physics - Theory · Physics 2008-12-19 Patrick K. S. Vaudrevange

A consistent theoretical description of physics at high energies requires an assessment of vacuum stability in either the Standard Model or any extension of it. Especially supersymmetric extensions allow for several vacua and the choice of…

High Energy Physics - Phenomenology · Physics 2016-08-26 Wolfgang Gregor Hollik

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 review the theory and phenomenology of effective supergravity theories based on orbifold compactifications of the weakly-coupled heterotic string. In particular, we consider theories in which the four-dimensional theory displays target…

High Energy Physics - Theory · Physics 2010-10-27 Mary K. Gaillard , Brent D. Nelson

We show how to construct supersymmetric three-generation models with gauge group and matter content of the Standard Model in the framework of non-simply-connected elliptically fibered Calabi-Yau manifolds Z. The elliptic fibration on a…

High Energy Physics - Theory · Physics 2009-11-10 Gottfried Curio

We consider heterotic string solutions based on a warped product of a four-dimensional domain wall and a six-dimensional internal manifold, preserving two supercharges. The constraints on the internal manifolds with SU(3) structure are…

High Energy Physics - Theory · Physics 2011-02-03 Andre Lukas , Cyril Matti

We study heterotic Calabi--Yau compactifications with NSNS three-form flux in view of moduli stabilisation and investigate whether the value $|W_0|$ of the flux superpotential evaluated at supersymmetric minima can be small. Unlike in type…

High Energy Physics - Theory · Physics 2026-05-07 Evgeny I. Buchbinder , Andrei Constantin , Lucas T. Y. Leung , Andre Lukas , Burt Ovrut

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

We consider heterotic Calabi-Yau compactifications with S(U(4)xU(1)) background gauge fields. These models lead to gauge groups with an additional U(1) factor which, under certain conditions, can combine with hypercharge to a B-L symmetry.…

High Energy Physics - Theory · Physics 2015-06-19 Evgeny I. Buchbinder , Andrei Constantin , Andre Lukas

We revisit general arguments for the absence of exact continuous global symmetries in string compactifications and extend them to D-brane models. We elucidate the various ways approximate continuous global symmetries arise in the…

High Energy Physics - Theory · Physics 2009-01-06 C. P. Burgess , J. P. Conlon , L-Y. Hung , C. H. Kom , A. Maharana , F. Quevedo

We propose a construction of K\"ahler and non-K\"ahler Calabi-Yau manifolds by branched double covers of twistor spaces. In this construction we use the twistor spaces of four-manifolds with self-dual conformal structures, with the examples…

High Energy Physics - Theory · Physics 2018-03-06 Hai Lin , Baosen Wu , Shing-Tung Yau