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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

String cosmology aims at providing a reliable description of the very early Universe in the regime where standard-model physics is no longer appropriate, and where we can safely apply the basic ingredients of superstring models such as…

General Relativity and Quantum Cosmology · Physics 2014-04-24 M. Gasperini

In the paper ``Chirality change in string theory'', by Douglas and Zhou, the authors give a list of bundles on a quintic Calabi-Yau threefold. Here we prove the semistability of most of these bundles. This provides examples of string theory…

Algebraic Geometry · Mathematics 2011-01-18 Maria Chiara Brambilla

Lorentz-invariant expectation values for antisymmetric tensor field strengths in Calabi-Yau compactification of IIA string theory are considered. These are found to impart magnetic and/or electric charges to the dilaton hypermultiplet. This…

High Energy Physics - Theory · Physics 2009-09-17 Joseph Polchinski , Andrew Strominger

The study of curved D-brane geometries in type II strings implies a general relation between local singularities $\cx W$ of Calabi-Yau manifolds and gravity free supersymmetric QFT's. The minimal supersymmetric case is described by F-theory…

High Energy Physics - Theory · Physics 2011-04-15 P. Mayr

In recent work N. Hitchin introduced the concept of "generalised geometry". The key feature of generalised structures is that that they can be acted on by both diffeomorphisms and 2-forms, the so-called $B$-fields. In this lecture, we give…

Differential Geometry · Mathematics 2010-12-30 Frederik Witt

We obtain analytic and numerical results for the non-perturbative amplitudes of topological string theory on arbitrary, compact Calabi-Yau manifolds. Our approach is based on the theory of resurgence and extends previous special results to…

High Energy Physics - Theory · Physics 2023-08-09 Jie Gu , Amir-Kian Kashani-Poor , Albrecht Klemm , Marcos Marino

String theory is at the moment the only advanced approach to a unification of all interactions, including gravity. But, in spite of the more than thirty years of its existence, it does not make any empirically testable predictions, and it…

History and Philosophy of Physics · Physics 2008-11-26 Reiner Hedrich

We derive type IIB vacua which are very promising to put string theory to experimental test. These are Calabi-Yau compactifications with a 4D fibration over a 2D base. The moduli are fixed in such a way to obtain a very anisotropic…

High Energy Physics - Theory · Physics 2011-11-04 Michele Cicoli

String theory is the most promising candidate theory for a unified description of all fundamental forces exist in the nature. It provides a mathematical framework that combine quantum theory with Einstein's general theory of relativity. But…

General Physics · Physics 2012-09-26 S. Sahoo

We review the relation between Chern-Simons gauge theory and topological string theory on noncompact Calabi-Yau spaces. This relation has made possible to give an exact solution of topological string theory on these spaces to all orders in…

High Energy Physics - Theory · Physics 2008-11-26 Marcos Marino

We discuss systematic approaches to the classification of string/M theory vacua, and physical questions this might help us resolve. To this end, we initiate the study of ensembles of effective Lagrangians, which can be used to precisely…

High Energy Physics - Theory · Physics 2009-11-10 Michael R. Douglas

We consider string theory in a time dependent orbifold with a null singularity. The singularity separates a contracting universe from an expanding universe, thus constituting a big crunch followed by a big bang. We quantize the theory both…

High Energy Physics - Theory · Physics 2009-11-07 Hong Liu , Gregory Moore , Nathan Seiberg

In string theory the coupling ``constants'' appearing in the low-energy effective Lagrangian are determined by the vacuum expectation values of some (a priori) massless scalar fields (dilaton, moduli). This naturally leads one to expect a…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Thibault Damour

String phenomenology is the branch of string theory concerned with making contact with particle physics. The original models involved compactifying ten-dimensional supersymmetric Yang-Mills theory on an internal Calabi-Yau three-fold. In…

Algebraic Geometry · Mathematics 2012-01-13 Martijn Wijnholt

The physical motivations and the basic construction rules for Type I strings and M-theory compactifications are reviewed in light of the recent developments. The first part contains the basic theoretical ingredients needed for building…

High Energy Physics - Phenomenology · Physics 2010-04-06 Emilian Dudas

We briefly review the recent programme to construct, systematically and algorithmically, large classes of heterotic vacua, as well as the search for the MSSM therein. Specifically, we outline the monad construction of vector bundles over…

High Energy Physics - Theory · Physics 2015-05-18 Yang-Hui He

We construct supersymmetric $\mathrm{AdS}_4$ vacua of type IIB string theory in compactifications on orientifolds of Calabi-Yau threefold hypersurfaces. We first find explicit orientifolds and quantized fluxes for which the superpotential…

High Energy Physics - Theory · Physics 2022-01-12 Mehmet Demirtas , Manki Kim , Liam McAllister , Jakob Moritz , Andres Rios-Tascon

A while ago, examples of N=1 vacua in D=6 were constructed as orientifolds of Type IIB string theory compactified on the K3 surface. Among the interesting features of those models was the presence of D5-branes behaving like small…

High Energy Physics - Theory · Physics 2009-10-30 Eric G. Gimon , Clifford V. Johnson

In this work we explore the physics associated to Calabi-Yau (CY) n-folds that can be described as a fibration in more than one way. Beginning with F-theory vacua in various dimensions, we consider limits/dualities with M-theory, type IIA,…

High Energy Physics - Theory · Physics 2016-11-23 Lara B. Anderson , Xin Gao , James Gray , Seung-Joo Lee
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