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In this paper, we study Higgs and co-Higgs bundles on non-K\"ahler elliptic surfaces. We show, in particular, that non-trivial stable Higgs bundles only exist when the base of the elliptic fibration has genus at least two and use this…

Algebraic Geometry · Mathematics 2023-09-19 Eric Boulter , Ruxandra Moraru

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

Motivated by the construction based on topological suspension of a family of compact non-K\"ahler complex manifolds with trivial canonical bundle given by L. Qin and B. Wang in [QW], we study toric suspensions of balanced manifolds by…

Differential Geometry · Mathematics 2025-09-18 Anna Fino , Gueo Grantcharov , Misha Verbitsky

We systematically construct a large number of compact Calabi-Yau fourfolds which are suitable for F-theory model building. These elliptically fibered Calabi-Yaus are complete intersections of two hypersurfaces in a six dimensional ambient…

High Energy Physics - Theory · Physics 2011-04-05 Johanna Knapp , Maximilian Kreuzer , Christoph Mayrhofer , Nils-Ole Walliser

We present an explicit method for translating between the linear sigma model and the spectral cover description of SU(r) stable bundles over an elliptically fibered Calabi-Yau manifold. We use this to investigate the 4-dimensional duality…

High Energy Physics - Theory · Physics 2016-09-06 M. Bershadsky , T. M. Chiang , B. R. Greene , A. Johansen , C. I. Lazaroiu

Instantons on Eguchi-Hanson spaces provide explicit examples of stable bundles on non-compact four dimensional C^2/Z_n orbifold resolutions with non-Abelian structure groups. With this at hand, we can consider compactifications of ten…

High Energy Physics - Theory · Physics 2011-10-11 Stefan Groot Nibbelink , Filipe Paccetti Correia , Michele Trapletti

We explore the Higgs branches of five-dimensional $\mathcal{N}=1$ quiver gauge theories at finite coupling from the paradigm of M-theory on local Calabi-Yau threefolds described as $\mathbb{C}^\ast$-fibrations over local K3's. By properly…

High Energy Physics - Theory · Physics 2020-12-03 Andrés Collinucci , Roberto Valandro

We explicitly construct the largest dataset to date of heterotic vacua arising from stable vector bundles on Calabi-Yau threefolds. Focusing on elliptically fibered Calabi-Yau manifolds with spectral cover bundles, we show that the number…

High Energy Physics - Theory · Physics 2014-11-18 Maxime Gabella , Yang-Hui He , Andre Lukas

While M- and F-theory compactifications describe a much larger class of vacua than perturbative string compactifications, they typically need singularities to generate non-abelian gauge fields and charged matter. The physical explanation…

High Energy Physics - Theory · Physics 2023-10-10 R. Donagi , M. Wijnholt

The Yukawa textures of effective heterotic models are studied by using singular spectral data. One advantage of this approach is that it is possible to dissect the cohomologies of the bundles into smaller parts and identify the pieces that…

High Energy Physics - Theory · Physics 2021-12-08 Mohsen Karkheiran

We present a Kahler potential for four dimensional heterotic M-theory which includes moduli describing a gauge five brane living on one of the orbifold fixed planes. This result can also be thought of as describing compactifications of…

High Energy Physics - Theory · Physics 2008-11-26 James Gray , Andre Lukas

We present the first examples of cosmological solutions to four-dimensional heterotic models which include an evolving bundle modulus. The particular bundle modulus we consider corresponds to the width of a gauge five brane. As such our…

High Energy Physics - Theory · Physics 2009-11-10 James Gray , Andre Lukas , Gavin I. Probert

We present compact three-generation F-theory GUT models meeting in particular the constraints of D3-tadpole cancellation and D-term supersymmetry. To this end we explicitly construct elliptically fibered Calabi-Yau fourfolds as complete…

High Energy Physics - Theory · Physics 2014-11-20 Thomas W. Grimm , Sven Krause , Timo Weigand

The scalars of an N = 1 supersymmetric sigma-model in 4 dimensions parameterize a Kaehler manifold. The transformations of their fermionic superpartners under the isometries are often anomalous. These anomalies can be canceled by…

High Energy Physics - Theory · Physics 2011-10-11 S. Groot Nibbelink

We analyze transitions between heterotic vacua with distinct gauge bundles using two complementary methods - the effective four-dimensional field theory and the corresponding geometry. From the viewpoint of effective field theory, such…

High Energy Physics - Theory · Physics 2015-05-20 Lara B. Anderson , James Gray , Burt Ovrut

We obtain non-trivial solutions to the heterotic $\rm{G}_2$ system, which are defined on the total spaces of non-trivial circle bundles over Calabi--Yau $3$-orbifolds. By adjusting the $S^1$ fibres in proportion to a power of the string…

Differential Geometry · Mathematics 2023-07-26 Jason D. Lotay , Henrique N. Sá Earp

Four stacks of intersecting supersymmetric fractional D6-branes on the Z_6' orientifold have previously been used to construct consistent models having the spectrum of the supersymmetric Standard Model, including a single pair of Higgs…

High Energy Physics - Theory · Physics 2015-05-27 David Bailin , Alex Love

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

In this paper we describe a physical realization of a family of non-compact Kahler threefolds with trivial canonical bundle in hybrid Landau-Ginzburg models, motivated by some recent non-Kahler solutions of Strominger systems, and utilizing…

High Energy Physics - Theory · Physics 2019-01-30 Zhuo Chen , Tony Pantev , Eric Sharpe

We consider the heterotic string on an elliptic Calabi-Yau three-fold with five-branes wrapping curves in the base ('horizontal' curves) of the Calabi-Yau as well as some elliptic fibers ('vertical' curves). We show that in this generalized…

High Energy Physics - Theory · Physics 2009-10-31 Bjorn Andreas , Gottfried Curio
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