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Yau proved an existence theorem for Ricci-flat K\"ahler metrics in the 1970's, but we still have no closed form expressions for them. Nevertheless there are several ways to get approximate expressions, both numerical and analytical. We…

High Energy Physics - Theory · Physics 2015-12-09 Michael R. Douglas

We construct, as hypersurfaces in toric varieties, Calabi-Yau manifolds corresponding to F-theory vacua dual to E8*E8 heterotic strings compactified to six dimensions on K3 surfaces with non-semisimple gauge backgrounds. These vacua were…

High Energy Physics - Theory · Physics 2009-10-30 Philip Candelas , Eugene Perevalov , Govindan Rajesh

The heterotic string compactified on an (n-1)-dimensional elliptically fibered Calabi-Yau Z-->B is conjectured to be dual to F-theory compactified on an n-dimensional Calabi-Yau X-->B, fibered over the same base with elliptic K3 fibers. In…

High Energy Physics - Theory · Physics 2007-05-23 Ron Y. Donagi

We study heterotic Calabi-Yau models with hypercharge flux breaking, where the visible E8 gauge group is directly broken to the standard model group by a non-flat gauge bundle, rather than by a two-step process involving an intermediate…

High Energy Physics - Theory · Physics 2015-06-23 Lara B. Anderson , Andrei Constantin , Seung-Joo Lee , Andre Lukas

This paper explores a recent idea of Nambu to generate hierarchies among Yukawa couplings in the context of effective supergravity and superstrings models. The Yukawa couplings are homogeneous functions of the moduli and a geometrical…

High Energy Physics - Theory · Physics 2009-09-25 E. Dudas

We investigate a class of extra dimensional models where all of the Standard Model fermions are localized to a single fixed point in an $S_1/Z_2$ orbifold, and each species is localized with an exponential wavefunction with a different…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ben Lillie

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

This thesis contributes with a number of topics to the subject of string compactifications. In the first half of the work, I discuss the Hodge plot of Calabi-Yau threefolds realised as hypersurfaces in toric varieties. The intricate…

High Energy Physics - Theory · Physics 2018-09-28 Andrei Constantin

We study infinite distance limits in the complex structure moduli space of Type IIB compactifications on Calabi--Yau threefolds, in light of the Emergent String Conjecture. We focus on the so-called type II limits, which, based on the…

High Energy Physics - Theory · Physics 2026-01-30 Bjoern Hassfeld , Jeroen Monnee , Timo Weigand , Max Wiesner

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

Orbifold compactification of heterotic E8 x E8 string theory is a source for promising grand unified model building. It can accommodate the successful aspects of grand unification while avoiding problems like doublet-triplet splitting in…

High Energy Physics - Theory · Physics 2008-11-26 Stefan Forste , Hans Peter Nilles , Patrick K. S. Vaudrevange , Akin Wingerter

We present a new class of dualities relating non-geometric Calabi-Yau compactifications of type II string theory to T-fold compactifications of the heterotic string, both preserving four-dimensional $\mathcal{N}=2$ supersymmetry. The…

High Energy Physics - Theory · Physics 2020-01-08 Yoan Gautier , Chris M. Hull , Dan Israël

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

We investigate special compactifications of the heterotic string for which the space of half-BPS states is, in a natural way, a representation of various subgroups of the Conway group. These compactifications provide a useful framework for…

High Energy Physics - Theory · Physics 2018-08-15 Jeffrey A. Harvey , Gregory W. Moore

Extracting reliable low-energy information from string compactifications notoriously requires a detailed understanding of the UV sensitivity of the corresponding effective field theories. Despite past efforts in computing perturbative…

High Energy Physics - Theory · Physics 2021-09-15 Michele Cicoli , Fernando Quevedo , Raffaele Savelli , Andreas Schachner , Roberto Valandro

We discuss a simple example of an F-theory compactification on a Calabi-Yau fourfold where background fluxes, together with nonperturbative effects from Euclidean D3 instantons and gauge dynamics on D7 branes, allow us to fix all closed and…

High Energy Physics - Theory · Physics 2008-11-26 Frederik Denef , Michael R. Douglas , Bogdan Florea , Antonella Grassi , Shamit Kachru

We present a Z_6 orbifold compactification of the E_8xE_8 heterotic string which leads to the (supersymmetric) Standard Model gauge group and matter content. The quarks and leptons appear as three 16-plets of SO(10), whereas the Higgs…

High Energy Physics - Phenomenology · Physics 2008-11-26 Wilfried Buchmuller , Koichi Hamaguchi , Oleg Lebedev , Michael Ratz

We calculate, at the classical level, the superpotential tri-linear couplings of the only known globally consistent heterotic minimal supersymmetric Standard Model [ hep-th/0512149 ]. This recently constructed model is based on a…

High Energy Physics - Theory · Physics 2008-11-26 Vincent Bouchard , Mirjam Cvetic , Ron Donagi

We present an explicit calculation of the spectrum of a general class of string models, corresponding to Calabi-Yau flux compactifications with h_{1,2}>h_{1,1}>1 with leading perturbative and non-perturbative corrections, in which all…

High Energy Physics - Theory · Physics 2010-02-03 Joseph P. Conlon , Fernando Quevedo , Kerim Suruliz

Geometric transitions between Calabi-Yau manifolds have proven to be a powerful tool in exploring the intricate and interconnected vacuum structure of string compactifications. However, their role in N=1, 4-dimensional string…

High Energy Physics - Theory · Physics 2022-11-14 Lara B. Anderson , Callum R. Brodie , James Gray
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