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We show that fractional flux from Wilson lines can stabilize the moduli of heterotic string compactifications on Calabi-Yau threefolds. We observe that the Wilson lines used in GUT symmetry breaking naturally induce a fractional flux. When…

High Energy Physics - Theory · Physics 2009-10-07 Sergei Gukov , Shamit Kachru , Xiao Liu , Liam McAllister

We study two phases of a heterotic standard model, obtained from a Calabi-Yau compactification of the E8xE8 heterotic string, in the context of the associated four-dimensional effective theories. In the first phase we have a standard model…

High Energy Physics - Theory · Physics 2015-07-22 Evgeny I. Buchbinder , Andrei Constantin , Andre Lukas

We perform a general analysis on the possibility of obtaining metastable vacua with spontaneously broken N=1 supersymmetry and non-negative cosmological constant in the moduli sector of string models. More specifically, we study the…

High Energy Physics - Theory · Physics 2009-12-04 Laura Covi , Marta Gomez-Reino , Christian Gross , Jan Louis , Gonzalo A. Palma , Claudio A. Scrucca

Supersymmetric heterotic string models, built from a stable holomorphic vector bundle $V$ on a Calabi-Yau threefold $X$, usually come with many vector bundle moduli whose stabilisation is a difficult and complex task. It is therefore of…

High Energy Physics - Theory · Physics 2015-06-03 Gottfried Curio

The discovery of the Higgs boson at the LHC supports the hypothesis that the Standard Model provides an effective parameterisation of all subatomic experimental data up to the Planck scale. String theory, which provides a viable…

High Energy Physics - Theory · Physics 2014-05-29 P. Athanasopoulos , A. E. Faraggi , V. M. Mehta

We modify a recently proposed heterotic model hep-th/0703210, giving three net-generations of standard model fermions, to get rid of an additional U(1) factor in the gauge group. The method employs a stable SU(5) bundle on a Calabi-Yau…

High Energy Physics - Theory · Physics 2008-11-26 Bjorn Andreas , Gottfried Curio

We study the formation and evolution of topological defects in an aligned axion model with multiple Peccei-Quinn scalars, where the QCD axion is realized by a certain combination of the axions with decay constants much smaller than the…

High Energy Physics - Phenomenology · Physics 2016-08-24 Tetsutaro Higaki , Kwang Sik Jeong , Naoya Kitajima , Toyokazu Sekiguchi , Fuminobu Takahashi

It is unknown whether a bound on axion field ranges exists within quantum gravity. We study axion field ranges using extended supersymmetry, in particular allowing an analysis within strongly coupled regions of moduli space. We apply this…

High Energy Physics - Theory · Physics 2016-05-04 Joseph P. Conlon , Sven Krippendorf

We study heterotic string compactifications on nearly K\"ahler homogeneous spaces, including the gauge field effects which arise at order \alpha'. Using Abelian gauge fields, we are able to solve the Bianchi identity and supersymmetry…

High Energy Physics - Theory · Physics 2015-06-11 Michael Klaput , Andre Lukas , Cyril Matti , Eirik E. Svanes

In this work we investigate the moduli stabilisation problem and the requirements for de Sitter vacua within the framework of type IIB string theory. Using perturbative effects arising from the various sources such as $\alpha^\prime$…

High Energy Physics - Theory · Physics 2022-07-11 George K. Leontaris , Pramod Shukla

If $X\subset\operatorname{Gr}(2,6)$ is the Fano variety of lines of a smooth cubic fourfold, then we show that the restriction to $X$ of any Schur functor of the tautological quotient bundle is modular and slope polystable. Moreover it is…

Algebraic Geometry · Mathematics 2024-09-20 Enrico Fatighenti , Claudio Onorati

We consider N=2 supersymmetric QCD with the U(N) gauge group (with no Fayet-Iliopoulos term) and N_f flavors of massive quarks deformed by the mass term \mu for the adjoint matter, W=\mu A^2, assuming that N\leq N_f<2N. This deformation…

High Energy Physics - Theory · Physics 2014-11-21 M. Shifman , A. Yung

Recently it was proposed that the ten dimensional tachyonic superstring vacua may serve as good starting points for the construction of viable phenomenological models. Such phenomenologically viable models enlarge the space of possible…

High Energy Physics - Theory · Physics 2020-04-29 Alon E. Faraggi , Viktor G. Matyas , Benjamin Percival

We explore the possibility that supersymmetry breaking is mediated to the Standard Model sector through the interactions of a generalized axion multiplet that gains a F-term expectation value. Using an effective field theory framework we…

High Energy Physics - Phenomenology · Physics 2013-02-27 Masha Baryakhtar , Edward Hardy , John March-Russell

The M-theory, the strong-coupling heterotic string theory, presents various interesting new phenomenologies. The M-theory bulk axion is one of these. The decay constant in this context is estimated as $F_a\simeq 10^{16}$ GeV. Direct…

High Energy Physics - Phenomenology · Physics 2014-11-17 Toshiyuki Kanazawa , M. Kawasaki , Naoshi Sugiyama , T. Yanagida

In this paper, we investigate axion physics in 4D F-theory MSSM models. We derive the axion coupling term with QCD gauge fields and the axion potential from a top-down perspective, from both IIB superstring and the dual M-theory picture.…

High Energy Physics - Theory · Physics 2026-05-14 Keren Chen , Qinjian Lou , Yi-Nan Wang

We clarify the relation between six-dimensional Abelian orbifold compactifications of the heterotic string and smooth heterotic K3 compactifications with line bundles for both SO(32) and E_8 x E_8 gauge groups. The T^4/Z_N cases for N=2,3,4…

High Energy Physics - Theory · Physics 2010-10-27 Gabriele Honecker , Michele Trapletti

Let X be an irreducible 2n-dimensional holomorphic symplectic manifold. A reflexive sheaf F is very modular, if its Azumaya algebra End(F) deforms with X to every Kahler deformation of X. We show that if F is a slope-stable reflexive sheaf…

Algebraic Geometry · Mathematics 2024-10-29 Eyal Markman

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

A torsion free sheaf on a hyperk\"ahler variety $X$ is modular if the discriminant satisfies a certain condition, for example if it is a multiple of $c_2(X)$ the sheaf is modular. The definition is taylor made for torsion-free sheaves on a…

Algebraic Geometry · Mathematics 2021-04-28 Kieran G. O'Grady
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