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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 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

These are notes based on lectures given at TASI99. We review the geometry of the moduli space of N=2 theories in four dimensions from the point of view of superstring compactification. The cases of a type IIA or type IIB string compactified…

High Energy Physics - Theory · Physics 2007-05-23 Paul S. Aspinwall

We briefly review attempts to construct string theories that yield the standard model, concentrating on models with a geometric interpretation. Calabi-Yau compactifications are discussed in the context of both the weakly coupled heterotic…

High Energy Physics - Theory · Physics 2007-05-23 D. Bailin , G. V. Kraniotis , A. Love

The goal of identifying the Standard Model of particle physics and its extensions within string theory has been one of the principal driving forces in string phenomenology. Recently, the incorporation of artificial intelligence in string…

High Energy Physics - Theory · Physics 2022-04-29 Andrei Constantin

The large volume scenario has been an important issue for flux compactifications with T-dual non-geometric fluxes. As one solution to this issue, to naturally embed duality in string compactification, we investigate in self-mirror…

High Energy Physics - Theory · Physics 2024-02-14 Rui Sun

We perform an analysis of the soft supersymmetry-breaking terms arising in Calabi-Yau compactifications. The sigma-model contribution and the instanton correction to the K\"ahler potential are included in the computation. The existence of…

High Energy Physics - Phenomenology · Physics 2014-11-17 H. B. Kim , C. Munoz

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

Quantum corrections in the hypermultiplet moduli space of type IIA string theories compactified on Calabi-Yau threefolds are investigated.

High Energy Physics - Theory · Physics 2015-06-26 Holger Guenther , Carl Herrmann , Jan Louis

This note is intended to serve as a reference for conventions used in the literature on string compactifications, and how to move between them, collected in a single and easy-to-find place, using type IIB as an illustrative example. We hope…

High Energy Physics - Theory · Physics 2025-06-17 Bruno Valeixo Bento , Dibya Chakraborty , Susha Parameswaran , Ivonne Zavala

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

Using heterotic/type II string duality, we obtain exact nonperturbative results for the point particle limit (alpha' -> 0) of some particular four dimensional, N=2 supersymmetric compactifications of heterotic strings. This allows us to…

High Energy Physics - Theory · Physics 2009-10-07 S. Kachru , A. Klemm , W. Lerche , P. Mayr , C. Vafa

Ricci flat metrics for Calabi-Yau threefolds are not known analytically. In this work, we employ techniques from machine learning to deduce numerical flat metrics for the Fermat quintic, for the Dwork quintic, and for the Tian-Yau manifold.…

High Energy Physics - Theory · Physics 2021-01-28 Vishnu Jejjala , Damian Kaloni Mayorga Pena , Challenger Mishra

We study the action of mirror symmetry on two-dimensional N=(2,2) effective theories obtained by compactifying Type IIA string theory on Calabi-Yau fourfolds. Our focus is on fourfold geometries with non-trivial three-form cohomology. The…

High Energy Physics - Theory · Physics 2021-12-21 Sebastian Greiner , Thomas W. Grimm

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 compactifications of type IIB supergravity on Calabi-Yau threefolds. The resulting low energy effective Lagrangian is displayed in the large volume limit and its symmetry properties - with specific emphasis on the SL(2,Z) - are…

High Energy Physics - Theory · Physics 2009-10-31 Robert Boehm , Holger Guenther , Carl Herrmann , Jan Louis

We study the large volume limit of the scalar potential in Calabi-Yau flux compactifications of type IIB string theory. Under general circumstances there exists a limit in which the potential approaches zero from below, with an associated…

High Energy Physics - Theory · Physics 2011-05-05 Vijay Balasubramanian , Per Berglund , Joseph P. Conlon , Fernando Quevedo

We consider the general case of a type IIA string compactified on a Calabi-Yau manifold which has a heterotic dual description. It is shown that the nonabelian gauge symmetries which can appear nonperturbatively in the type II string but…

High Energy Physics - Theory · Physics 2009-10-28 Paul S. Aspinwall

Type IIA string theory compactified on a Calabi-Yau threefold has a hypermultiplet moduli space whose metric is known to receive non-perturbative corrections from Euclidean D2-branes wrapped on 3-cycles. These corrections have been computed…

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

Non-perturbative instanton corrections to the moduli space geometry of type IIA string theory compactified on a Calabi-Yau space are derived and found to contain order $e^{-1/g_s}$ contributions, where $g_s$ is the string coupling. The…

High Energy Physics - Theory · Physics 2009-09-17 Katrin Becker , Melanie Becker , Andrew Strominger