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For supersymmetric extensions of the Standard Model we construct some expressions that include Yukawa couplings for the third and second generations and receive relatively small quantum corrections. This implies that they slightly depend on…

High Energy Physics - Phenomenology · Physics 2026-04-28 Kirill Krylov , Daniil Rystsov , Konstantin Stepanyantz

Ever since Yau's non-constructive existence proof of Ricci-flat metrics on Calabi-Yau manifolds, finding their explicit construction remains a major obstacle to development of both string theory and algebraic geometry. Recent computational…

High Energy Physics - Theory · Physics 2025-03-13 Viktor Mirjanić , Challenger Mishra

We show that non-trivial SU(3) structures can be constructed on large classes of Calabi-Yau three-folds. Specifically, we focus on Calabi-Yau three-folds constructed as complete intersections in products of projective spaces, although we…

High Energy Physics - Theory · Physics 2019-02-20 Magdalena Larfors , Andre Lukas , Fabian Ruehle

Dynamical quasi-localization of matter fields in extra dimension is an elegant mechanism to generate hierarchical 4-dimensional Yukawa couplings. We point out that a bulk matter field whose zero mode is quasi-localized can give a large…

High Energy Physics - Phenomenology · Physics 2009-11-10 Kiwoon Choi , Ian-Woo Kim , Wan Young Song

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

We present the beta functions of gauge and Yukawa couplings in general four-dimensional quantum field theory, at four and three loops, respectively. The essence of our approach is fixing unknown coefficients in the most general ansatz for…

High Energy Physics - Phenomenology · Physics 2021-07-28 Alexander Bednyakov , Andrey Pikelner

A new framework is found for the compactification of supersymmetric string theory. It is shown that the massless spectra of Calabi--Yau manifolds of complex dimension $D_{crit}$ can be derived from noncritical manifolds of complex dimension…

High Energy Physics - Theory · Physics 2010-11-01 Rolf Schimmrigk

At the leading order, the low-energy effective field equations in string theory admit solutions of the form of products of Minkowski spacetime and a Ricci-flat Calabi-Yau space. The equations of motion receive corrections at higher orders…

High Energy Physics - Theory · Physics 2009-11-10 H. Lu , C. N. Pope , K. S. Stelle

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

Type IIA orientifold constructions with intersecting D6-branes and their IIB duals in terms of magnetized D9/D7-branes constitute one of the most promising avenues for the construction of semirealistic MSSM-like compactifications. One…

High Energy Physics - Theory · Physics 2009-04-02 L. E. Ibanez , R. Richter

We study Calabi-Yau compactifications of non relativistic string theory and show that it can be derived from the corresponding relativistic Calabi-Yau compactifications by taking the non relativistic limit of the resulting 4D theory without…

High Energy Physics - Theory · Physics 2023-01-10 Poula Tadros , Iiro Vilja

In order to be in control of the $\alpha'$ derivative expansion, geometric string compactifications are understood in the context of a large volume approximation. In this letter, we consider the reduction of these higher derivative terms,…

High Energy Physics - Theory · Physics 2025-05-20 Kit Fraser-Taliente , Thomas R. Harvey , Manki Kim

We consider the general case of N=2 dual pairs of type IIA/heterotic string theories in four dimensions. We show that if the type IIA string in this pair can be viewed as having been compactified on a Calabi-Yau manifold in the usual way…

High Energy Physics - Theory · Physics 2019-08-15 Paul S. Aspinwall , Jan Louis

We provide the first explicit example of Type IIB string theory compactification on a globally defined Calabi-Yau threefold with torsion which results in a four-dimensional effective theory with a non-Abelian discrete gauge symmetry. Our…

High Energy Physics - Theory · Physics 2017-09-13 Volker Braun , Mirjam Cvetic , Ron Donagi , Maximilian Poretschkin

We study mirror symmetric pairs of Calabi--Yau manifolds over finite fields. In particular we compute the number of rational points of the manifolds as a function of the complex structure parameters. The data of the number of rational…

High Energy Physics - Theory · Physics 2009-09-29 Shabnam N. Kadir

Tests of duality between heterotic strings on $K3\times T^2$ (restricted on certain Narain moduli subspaces) and type IIA strings on K3-fibered Calabi-Yau threefolds are attempted in the weak coupling regime on the heterotic side by…

High Energy Physics - Theory · Physics 2016-09-06 Toshiya Kawai

In this article we review four-dimensional string vacua with N=2 space-time supersymmetry. In particular, we will discuss several aspects of the string-string duality between the heterotic string, compactified on $K3\times T^2$, and the…

High Energy Physics - Theory · Physics 2015-06-26 Dieter Lust

We propose a scenario to stabilize all geometric moduli - that is, the complex structure, Kahler moduli and the dilaton - in smooth heterotic Calabi-Yau compactifications without Neveu-Schwarz three-form flux. This is accomplished using the…

High Energy Physics - Theory · Physics 2011-06-08 Lara B. Anderson , James Gray , Andre Lukas , Burt Ovrut

Among the firm predictions of softly broken supersymmetry is the identity of gauge couplings and the corresponding Yukawa couplings between gauginos, sfermions and fermions. In the event that a SUSY-like spectrum of new particles is…

High Energy Physics - Phenomenology · Physics 2009-11-11 Ayres Freitas , Peter Z Skands

We analyze the wavefunctions for open strings in warped compactifications, and compute the warped Kahler potential for the light modes of a probe D-brane. This analysis not only applies to the dynamics of D-branes in warped backgrounds, but…

High Energy Physics - Theory · Physics 2009-05-01 Fernando Marchesano , Paul McGuirk , Gary Shiu