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This paper is devoted to rigidity of smooth bundles which are equipped with fiberwise geometric or dynamical structure. We show that the fiberwise associated sphere bundle to a bundle whose leaves are equipped with (continuously varying)…

Dynamical Systems · Mathematics 2014-07-30 F. Thomas Farrell , Andrey Gogolev

In this paper we give a gauge theoretic construction of the joint moduli space of stable G-Higgs bundles on closed Riemann surfaces, where the Riemann surface structure is allowed to vary in the Teichm\"uller space of the underlying smooth…

Differential Geometry · Mathematics 2025-12-09 Brian Collier , Jérémy Toulisse , Richard Wentworth

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

We give a formalism for constructing hidden sector bundles as extensions of sums of line bundles in heterotic $M$-theory. Although this construction is generic, we present it within the context of the specific Schoen threefold that leads to…

High Energy Physics - Theory · Physics 2022-09-07 Anthony Ashmore , Sebastian Dumitru , Burt A. Ovrut

Compactifications of heterotic string theory on Generalized Calabi-Yau manifolds have been expected to give the same type of flexibility that type IIB compactifications on Calabi-Yau orientifolds have. In this note we generalize the work…

High Energy Physics - Theory · Physics 2010-02-19 S. P. de Alwis

Five dimensional field theories with exceptional gauge groups are engineered from degenerations of Calabi-Yau threefolds. The structure of the Coulomb branch is analyzed in terms of relative K\"ahler cones. For low number of flavors, the…

High Energy Physics - Theory · Physics 2009-10-31 Duiliu-Emanuel Diaconescu , Rami Entin

The aim of this paper is to construct the parabolic version of the Donaldson--Uhlenbeck compactification for the moduli space of parabolic stable bundles on an algenraic surface with parabolic structures along a divisor with normal crossing…

Algebraic Geometry · Mathematics 2007-05-23 V. Balaji , A. Dey , R. Parthasarathi

We show that the gauge, gravitational (tangent-bundle) and their mixed anomalies arising from the localized modes near a 5-brane in the SO(32) heterotic string theory cancel with the anomaly inflow from the bulk with the use of the…

High Energy Physics - Theory · Physics 2011-07-11 Harunobu Imazato , Shun'ya Mizoguchi , Masaya Yata

We investigate gauge theories and matter fields in F-theory compactifications on genus-one fibered Calabi-Yau 4-folds without a global section. In this study, genus-one fibered Calabi-Yau 4-folds are built as direct products of a genus-one…

High Energy Physics - Theory · Physics 2018-03-30 Yusuke Kimura

We construct a family of elliptically fibered Calabi-Yau four-folds Y_4 for F-theory compactifications that realize SU(5) GUTs in the low-energy limit. The three-fold base X_3 of these fibrations is almost Fano and satisfies the topological…

High Energy Physics - Theory · Physics 2015-05-13 Joseph Marsano , Natalia Saulina , Sakura Schafer-Nameki

We classify all smooth compact connected K\"ahler threefolds that admit the structure of a $C^\infty$-fiber bundle over the circle. This generalizes the work of Hao and Schreieder in the projective case. In contrast to the projective case,…

Algebraic Geometry · Mathematics 2025-06-30 Simon Pietig

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

In this work, we provide evidence for a duality between 4-dimensional Calabi-Yau compactifications of the heterotic string, in which the base manifolds are linked by a conifold transition. In recent work, a geometric proposal was put…

High Energy Physics - Theory · Physics 2025-12-23 Lara B. Anderson , James Gray , Sunit A. Patil , Caoimhín Scanlon

In previous papers, we introduced a heterotic standard model and discussed its basic properties. The Calabi-Yau threefold has, generically, three Kahler and three complex structure moduli. The observable sector of this vacuum has the…

High Energy Physics - Theory · Physics 2010-02-03 Volker Braun , Yang-Hui He , Burt A. Ovrut , Tony Pantev

We study moduli stabilization for type IIB orientifold compactifications on Calabi-Yau three-folds with (non-)geometric fluxes. For this setting it is possible to stabilize all closed-string moduli classically without the need for…

High Energy Physics - Theory · Physics 2021-04-07 Erik Plauschinn

We construct noncommutative principal bundles deforming principal bundles with a Drinfeld twist (2-cocycle). If the twist is associated with the structure group then we have a deformation of the fibers. If the twist is associated with the…

Quantum Algebra · Mathematics 2017-06-27 Paolo Aschieri , Pierre Bieliavsky , Chiara Pagani , Alexander Schenkel

We study the phenomenology of the strong-coupling limit of $E_8\times E_8$ heterotic string obtained from M-theory, using a Calabi-Yau compactification. After summarizing the standard embedding results, we concentrate on non-standard…

High Energy Physics - Phenomenology · Physics 2010-11-19 D. G. Cerdeno , C. Munoz

We consider static configurations of bulk scalar fields in extra dimensional models in which the fifth dimension is an $S^1/Z_2$ orbifold. There may exist a finite number of such configurations, with total number depending on the size of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Manuel Toharia , Mark Trodden

In this thesis, we consider heterotic string vacua based on a warped product of a four-dimensional domain wall and a six-dimensional internal manifold preserving only two supercharges. Thus, they correspond to half-BPS states of heterotic…

High Energy Physics - Theory · Physics 2012-04-17 Cyril Matti

In this brief note we analyse a toy model which can be derived from heterotic string compactifications on half-flat manifolds with SU(3) structure at first order in \alpha' (ie including matter fields). We show that for this model, finding…

High Energy Physics - Theory · Physics 2009-04-02 Andrei Micu