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Stabilization of closed string moduli in toroidal orientifold compactifications of type IIB string theory are studied using constant internal magnetic fields on D-branes and 3-form fluxes that preserve N=1 supersymmetry in four dimensions.…

High Energy Physics - Theory · Physics 2008-11-26 I. Antoniadis , A. Kumar , T. Maillard

We study the statistics of the metric on K\"ahler moduli space in compactifications of string theory on Calabi-Yau hypersurfaces in toric varieties. We find striking hierarchies in the eigenvalues of the metric and of the Riemann curvature…

High Energy Physics - Theory · Physics 2015-06-22 Cody Long , Liam McAllister , Paul McGuirk

We compute the contribution of Euclidean D-branes in type IIB string theory on Calabi-Yau threefolds to the metric on the hypermultiplet moduli space in the large volume, weak coupling limit. Our results are in perfect agreement with the…

High Energy Physics - Theory · Physics 2025-07-14 Sergei Alexandrov , Ashoke Sen , Bogdan Stefański

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 consider four dimensional heterotic compactifications on smooth elliptic Calabi-Yau threefolds. Using spectral cover techniques, we study bundle cohomology groups corresponding to charged matter multiplets. The analysis shows that in…

High Energy Physics - Theory · Physics 2010-02-03 Duiliu-Emanuel Diaconescu , Gheorghe Ionesei

In this thesis, we explore two approaches to string phenomenology. In the first half of the work, we investigate M-theory compactifications on spaces with co-dimension four, orbifold singularities. We construct M-theory on C^2/Z_N by…

High Energy Physics - Theory · Physics 2008-08-28 Lara B. Anderson

This article represents the author's PhD thesis. It describes moduli stabilisation in IIB string theory and applications to phenomenological topics. The first half of the thesis starts with an introductory review. It continues with an…

High Energy Physics - Theory · Physics 2008-11-26 Joseph P. Conlon

We continue our study of compactifications of F-theory on Calabi--Yau threefolds. We gain more insight into F-theory duals of heterotic strings and provide a recipe for building F-theory duals for arbitrary heterotic compactifications on…

High Energy Physics - Theory · Physics 2010-11-19 David R. Morrison , Cumrun Vafa

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

We present deep observations in targeted regions of the string landscape through a combination of analytic and dedicated numerical methods. Specifically, we devise an algorithm designed for the systematic construction of Type IIB flux vacua…

High Energy Physics - Theory · Physics 2025-01-08 Aman Chauhan , Michele Cicoli , Sven Krippendorf , Anshuman Maharana , Pellegrino Piantadosi , Andreas Schachner

This article is devoted to an overview of superstring perturbation theory from the point of view of super Riemann surfaces. We aim to elucidate some of the subtleties of superstring perturbation that caused difficulty in the early…

High Energy Physics - Theory · Physics 2016-07-26 Edward Witten

We study the structure of string theory flux compactification for a general family of elliptic CY 3-folds. We investigate the locus of the attractor points of the flux compactification in type IIB string theory on the boundary components of…

Algebraic Geometry · Mathematics 2021-08-10 Mohammad Reza Rahmati

Simple examples are given of bundles on Calabi-Yau 3-folds satisfying 8 out of 9 conditions required for a realistic compactification of string theory to 4 dimensions.

Algebraic Geometry · Mathematics 2007-05-23 R. P. Thomas

In this thesis we have studied various applications of asymptotic Hodge theory in string compactifications. This mathematical framework captures how physical couplings of the resulting effective theories behave near field space boundaries…

High Energy Physics - Theory · Physics 2022-07-04 Damian van de Heisteeg

We study different phenomenological aspects of compact, D=4, N=1 Type IIB orientifolds considered as models for unification of the standard model and gravity. We discuss the structure of the compactification, string and unification scales…

High Energy Physics - Phenomenology · Physics 2009-10-31 L. E. Ibáñez , C. Muñoz , S. Rigolin

In this paper we present a construction of stable bundles on Calabi-Yau threefolds using the method of bundle extensions. This construction applies to any given Calabi-Yau threefold with h^{1,1}>1. We give examples of stable bundles of rank…

Algebraic Geometry · Mathematics 2011-11-07 Bjorn Andreas , Norbert Hoffmann

We report on the formulation of $N=2$ $D=4$ supergravity coupled to $n_V$ abelian vector multiplets in presence of electric and magnetic charges. General formulae for the (moduli dependent) electric and magnetic charges for the $n_V+1$…

High Energy Physics - Theory · Physics 2009-10-28 A. Ceresole , R. D'Auria , S. Ferrara

We study the type II string theories compactified on manifolds of $G_2$ holonomy of the type $({Calabi-Yau 3-fold} \times S^1)/\bz_2$ where $CY_3$ sectors realized by the Gepner models. We construct modular invariant partition functions for…

High Energy Physics - Theory · Physics 2010-11-19 Tohru Eguchi , Yuji Sugawara

Compactifications of the heterotic string on T^d are the simplest, yet rich enough playgrounds to uncover swampland ideas: the U(1)^{d+16} left-moving gauge symmetry gets enhanced at special points in moduli space only to certain groups. We…

High Energy Physics - Theory · Physics 2020-12-02 Anamaría Font , Bernardo Fraiman , Mariana Graña , Carmen A. Núñez , Héctor Parra De Freitas

We discuss the compactification of type IIB supergravity on a Calabi-Yau manifold in the presence of both RR and NS fluxes for the three-form fields. We obtain the classical potential both by direct compactification and by using the…

High Energy Physics - Theory · Physics 2010-05-28 Gianguido Dall'Agata