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These lectures provide a self-contained introduction to flux compactifications of type IIB string theory on Calabi-Yau orientifolds. The first lecture begins with geometric foundations, then presents vacuum solutions in Calabi-Yau…

High Energy Physics - Theory · Physics 2025-12-22 Liam McAllister , Andreas Schachner

We address the open question of performing an explicit stabilisation of all closed string moduli (including dilaton, complex structure and Kaehler moduli) in fluxed type IIB Calabi-Yau compactifications with chiral matter. Using toric…

High Energy Physics - Theory · Physics 2015-06-18 Michele Cicoli , Denis Klevers , Sven Krippendorf , Christoph Mayrhofer , Fernando Quevedo , Roberto Valandro

We present a new way to construct de Sitter vacua in type IIB flux compactifications, in which the interplay of the leading perturbative and non-perturbative effects stabilize all moduli in dS vacua at parametrically large volume. Here, the…

High Energy Physics - Theory · Physics 2010-10-27 Alexander Westphal

We present the study of type II A flux vacua and their M-theory duals for compactification on a class of Calabi-Yau orientifolds. The Kaehler potential is derived from toroidal compactifications and the superpotential contains a…

High Energy Physics - Theory · Physics 2009-06-19 Giuseppe Milanesi , Roberto Valandro

We review compactifications of type IIB string theory which produce de Sitter vacua to leading order in the $\alpha^\prime$ and $g_s$ expansions in line with the scenario proposed by Kachru, Kallosh, Linde, and Trivedi. We detail specific…

High Energy Physics - Theory · Physics 2025-05-02 Andreas Schachner

We explicitly construct and study the statistics of flux vacua for type IIB string theory on an orientifold of the Calabi-Yau hypersurface $P^4_{[1,1,2,2,6]}$, parametrised by two relevant complex structure moduli. We solve for these moduli…

High Energy Physics - Theory · Physics 2009-11-10 Joseph P. Conlon , Fernando Quevedo

Flux compactification of IIB string theory associates special points in Calabi-Yau moduli space to choices of (pairs of) integral three-form fluxes. In this paper, we propose that supersymmetric flux vacua are modular. That is, to a…

High Energy Physics - Theory · Physics 2020-03-31 Shamit Kachru , Richard Nally , Wenzhe Yang

We derive a sufficient condition for realizing meta-stable de Sitter vacua with small positive cosmological constant within type IIB string theory flux compactifications with spontaneously broken supersymmetry. There are a number of `lamp…

High Energy Physics - Theory · Physics 2015-05-28 Markus Rummel , Alexander Westphal

We describe a simple class of type IIA string compactifications on Calabi-Yau manifolds where background fluxes generate a potential for the complex structure moduli, the dilaton, and the K\"ahler moduli. This class of models corresponds to…

High Energy Physics - Theory · Physics 2009-10-07 Shamit Kachru , Amir-Kian Kashani-Poor

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 investigate several predictions about the properties of IIB flux vacua on Calabi-Yau orientifolds, by constructing and characterizing a very large set of vacua in a specific example, an orientifold of the Calabi-Yau hypersurface in…

High Energy Physics - Theory · Physics 2009-11-10 A. Giryavets , S. Kachru , P. K. Tripathy

We construct compactifications of type IIB string theory that yield, at leading order in the $\alpha^\prime$ and $g_s$ expansions, de Sitter vacua of the form envisioned by Kachru, Kallosh, Linde, and Trivedi. We specify explicit Calabi-Yau…

High Energy Physics - Theory · Physics 2024-07-04 Liam McAllister , Jakob Moritz , Richard Nally , Andreas Schachner

We construct a new class of metastable de Sitter vacua of flux compactifications of type IIB string theory. These solutions provide a natural extension of the `Large Volume Scenario' anti-de Sitter vacua, and can analogously be realised at…

High Energy Physics - Theory · Physics 2017-10-31 Diego Gallego , M. C. David Marsh , Bert Vercnocke , Timm Wrase

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

In this note we construct large ensembles of supersymmetry breaking solutions arising in the context of flux compactifications of type IIB string theory. This class of solutions was previously proposed in arXiv:hep-th/0402135 for which we…

High Energy Physics - Theory · Physics 2023-08-31 Sven Krippendorf , Andreas Schachner

We present a comprehensive study of K\"ahler moduli stabilisation in Type IIB flux compactifications, combining advanced numerical techniques with analytical methods. Our JAX-based computational framework enables efficient scanning of the…

High Energy Physics - Theory · Physics 2025-07-02 Shehu AbdusSalam , Christopher Hughes , Fernando Quevedo , Andreas Schachner

A scenario for stabilization of axionic moduli fields in the context of type IIB Calabi-Yau flux compactifications is discussed in detail. We consider the case of a Calabi-Yau orientifold with h^{1,1}_- \neq 0 which allows for the presence…

High Energy Physics - Theory · Physics 2009-01-27 Kiril Hristov

We show that type I string theory compactified in four dimensions in the presence of constant internal magnetic fields possesses N=1 supersymmetric vacua, in which all Kahler class and complex structure closed string moduli are fixed.…

High Energy Physics - Theory · Physics 2010-04-05 I. Antoniadis , T. Maillard

We study compactifications of type IIA string theory on Calabi-Yau manifolds that are mirror to a subset of the type IIB LARGE-volume models. A combination of flux, alpha' corrections and non-perturbative effects stabilises the moduli in a…

High Energy Physics - Theory · Physics 2009-12-04 Eran Palti , Gianmassimo Tasinato , John Ward

The construction of meta-stable four-dimensional de Sitter vacua in type IIB string compactifications represents an important question and an ongoing area of work. There is considerable support both for stringy de Sitter vacua in the…

High Energy Physics - Theory · Physics 2025-02-07 Stefano Lanza , Alexander Westphal
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