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Related papers: Precision String Phenomenology

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We study the impacts of matter field K\"ahler metric on physical Yukawa couplings in string compactifications. Since the K\"ahler metric is non-trivial in general, the kinetic mixing of matter fields opens a new avenue for realizing a…

High Energy Physics - Theory · Physics 2021-07-20 Keiya Ishiguro , Tatsuo Kobayashi , Hajime Otsuka

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

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

We approach string phenomenology from the perspective of computational algebraic geometry, by providing new and efficient techniques for proving stability and calculating particle spectra in heterotic compactifications. This is done in the…

High Energy Physics - Theory · Physics 2009-04-22 Lara B. Anderson , Yang-Hui He , Andre Lukas

This is a review. Comments are welcome. The observation that the structure of string theory is rich enough to include the standard model in rough outline is an old one, starting with the early constructions of free field constructions,…

High Energy Physics - Theory · Physics 2008-10-13 Rolf Schimmrigk

Calabi-Yau spaces, or Kahler spaces admitting zero Ricci curvature, have played a pivotal role in theoretical physics and pure mathematics for the last half-century. In physics, they constituted the first and natural solution to…

High Energy Physics - Theory · Physics 2020-07-01 Yang-Hui He

We explicitly evaluate the low energy coupling $F_g$ in a $d=4,\mathcal{N}=2$ compactification of the heterotic string. The holomorphic piece of this expression provides the information not encoded in the holomorphic anomaly equations, and…

High Energy Physics - Theory · Physics 2017-09-07 Marcos Marino , Gregory Moore

Phenomenological explorations of heterotic strings have conventionally focused primarily on the E8xE8 theory. We consider smooth compactifications of all three ten-dimensional heterotic theories to exhibit the many similarities between the…

High Energy Physics - Theory · Physics 2016-01-19 Michael Blaszczyk , Stefan Groot Nibbelink , Orestis Loukas , Fabian Ruehle

We present an explicit construction of ${\cal O}(10^{15})$ globally consistent string compactifications that realize the exact chiral spectrum of the Standard Model of particle physics with gauge coupling unification in the context of…

High Energy Physics - Theory · Physics 2019-09-16 Mirjam Cvetic , James Halverson , Ling Lin , Muyang Liu , Jiahua Tian

Local and global properties of the moduli space of Calabi--Yau type compactifications determine the low energy parameters of the string effective action. We show that the moduli space geometry is entirely encoded in the Picard--Fuchs…

High Energy Physics - Theory · Physics 2016-09-06 R. D'Auria , S. Ferrara

The capability of string theories to reproduce at low energy the observed pattern of quark and lepton masses and mixing angles is examined, focusing the attention on orbifold constructions, where the magnitude of Yukawa couplings depends on…

High Energy Physics - Theory · Physics 2009-10-22 J. A. Casas , F. Gómez , C. Muñoz

We search for $N=2$, $d=4$ theories which can be realized both as heterotic string compactifications on $K_{3}\times T^{2}$ and as type II string compactifications on Calabi-Yau threefolds. In such cases, the exact non-perturbative…

High Energy Physics - Theory · Physics 2009-07-09 Shamit Kachru , Cumrun Vafa

We develop techniques, based on differential geometry, to compute holomorphic Yukawa couplings for heterotic line bundle models on Calabi-Yau manifolds defined as complete intersections in projective spaces. It is shown explicitly how these…

High Energy Physics - Theory · Physics 2016-07-21 Stefan Blesneag , Evgeny I. Buchbinder , Philip Candelas , Andre Lukas

We develop methods to compute holomorphic Yukawa couplings for heterotic compactifications on complete intersection Calabi-Yau manifolds, generalising results of an earlier paper for Calabi-Yau hypersurfaces. Our methods are based on…

High Energy Physics - Theory · Physics 2017-03-08 Stefan Blesneag , Evgeny I. Buchbinder , Andre Lukas

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 give necessary conditions for the existence of perturbative heterotic and common sector type II string warped compactifications preserving four and eight supersymmetries to four spacetime dimensions, respectively. In particular, we find…

High Energy Physics - Theory · Physics 2009-10-09 S. Ivanov , G. Papadopoulos

Recent scenarios of phenomenologically realistic string compactifications involve the existence of gauge sectors localized on D-branes at singular points of Calabi-Yau threefolds. The spectrum and interactions in these gauge sectors are…

High Energy Physics - Theory · Physics 2007-05-23 Angel M. Uranga

In this paper we study compactifications of the ${\cal N}=2$ heterotic $E_8\times E_8$ string on $(K3\times T^2)/\mathbb{Z}_3$ with various gauge backgrounds and calculate the topological couplings in the effective supergravity action that…

High Energy Physics - Theory · Physics 2020-05-20 Andreas Banlaki , Aradhita Chattopadhyaya , Abhiram Kidambi , Thorsten Schimannek , Maria Schimpf

We give a short review of a large class of warped string geometries, obtained via F-theory compactified on Calabi-Yau fourfolds, that upon reduction to 5 dimensions give consistent supersymmetric realizations of the RS compactification…

High Energy Physics - Theory · Physics 2010-04-06 Chang S. Chan , Percy L. Paul , Herman Verlinde

We study coupling selection rules of chiral matter fields in heterotic string theory with standard embedding. These selection rules are determined by topological properties of Calabi-Yau threefolds. We classify coupling selection rules on…

High Energy Physics - Theory · Physics 2025-09-03 Jun Dong , Tatsuo Kobayashi , Ryusei Nishida , Satsuki Nishimura , Hajime Otsuka