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A type IIA string (or F-theory) compactified on a Calabi-Yau threefold is believed to be dual to a heterotic string on a K3 surface times a 2-torus (or on a K3 surface). We consider how the resulting moduli space of hypermultiplets is…

High Energy Physics - Theory · Physics 2010-02-03 Paul S. Aspinwall

We study type IIA string theory compactified on Calabi-Yau fourfolds and heterotic string theory compactified on Calabi-Yau threefolds times a two-torus. We derive the resulting effective theories which have two space-time dimensions and…

High Energy Physics - Theory · Physics 2010-12-03 Michael Haack , Jan Louis , Monika Marquart

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 propose and give strong evidence for a duality relating Type II theories on Calabi-Yau spaces and heterotic strings on $K3 \times T^2$, both of which have $N=2$ spacetime supersymmetry. Entries in the dictionary relating the dual…

High Energy Physics - Theory · Physics 2009-07-09 S. Ferrara , J. A. Harvey , A. Strominger , C. Vafa

We analyze the U-duality group for the case of a type II superstring compactified to four dimensions on a K3 surface times a torus. The various limits of this theory are considered which have interpretations as type IIA and IIB…

High Energy Physics - Theory · Physics 2010-11-01 Paul S. Aspinwall , David R. Morrison

We consider flux compactifications of type IIB string theory on the mirror of a rigid Calabi-Yau. In special cases, these models are dual to the type IIA flux vacua with runaway direction in flux space. We show that new weak coupling AdS…

High Energy Physics - Theory · Physics 2008-11-26 Katrin Becker , Melanie Becker , Johannes Walcher

We discuss the possibility of finding scenarios, within type IIB string theory compactified on Calabi-Yau orientifolds with fluxes, for realizing gauge mediated supersymmetry breaking. We find that while in principle such scenarios are not…

High Energy Physics - Theory · Physics 2011-03-28 S. P. de Alwis , Z. Lalak

We study the number of flux vacua for type IIB string theory on an orientifold of the Calabi-Yau expressed as a hypersurface in WCP^4[1,1,2,2,6] by evaluating a suitable integral over the complex-structure moduli space as per the conjecture…

High Energy Physics - Theory · Physics 2009-11-10 A. Misra , A. Nanda

We study limits of four-dimensional type II Calabi-Yau compactifications with vanishing four-cycle singularities, which are dual to $\IT^2$ compactifications of the six-dimensional non-critical string with $E_8$ symmetry. We define proper…

High Energy Physics - Theory · Physics 2016-09-06 W. Lerche , P. Mayr , N. P. Warner

We use freely acting asymmetric orbifolds of type IIB string theory to construct a class of theories in four dimensions with eight supercharges. Their low energy effective field theories resemble $STU$ models, but have different duality…

High Energy Physics - Theory · Physics 2025-06-16 George Gkountoumis , Chris Hull , Guo-En Nian , Stefan Vandoren

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 analyse the r\^ole of approximate axionic shift symmetries in gravity-decoupling limits arising in type II Calabi-Yau compactifications. Associated with each shift symmetry there is an axionic string whose tension constrains the gradient…

High Energy Physics - Theory · Physics 2026-05-29 Christian Aoufia , Gonzalo F. Casas , Fernando Marchesano

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

The moduli dependence of $(2,2)$ superstring compactifications based on Calabi--Yau hypersurfaces in weighted projective space has so far only been investigated for Fermat-type polynomial constraints. These correspond to Landau-Ginzburg…

High Energy Physics - Theory · Physics 2014-11-18 P. Berglund , S. Katz , A. Klemm

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 study string loop corrections to the gravity kinetic terms in type IIB compactifications on Calabi-Yau threefolds or their orbifold limits, in the presence of $D7$-branes and orientifold planes. We show that they exhibit in general a…

High Energy Physics - Theory · Physics 2020-01-29 Ignatios Antoniadis , Yifan Chen , George K. Leontaris

Heterotic string compactifications on a $K3$ surface $\mathfrak{S}$ depend on a choice of hyperk\"ahler metric, anti-self-dual gauge connection and Kalb-Ramond flux, parametrized by hypermultiplet scalars. The metric on hypermultiplet…

High Energy Physics - Theory · Physics 2014-09-04 Sergei Alexandrov , Jan Louis , Boris Pioline , Roberto Valandro

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

This article represents the author's PhD thesis which is focused on moduli stabilisation in type IIB Calabi-Yau flux compactifications and its applications to cosmology. I derive the topological conditions on an arbitrary Calabi-Yau to give…

High Energy Physics - Theory · Physics 2011-05-31 Michele Cicoli

The hypermultiplet moduli space M_H in type II string theories compactified on a Calabi-Yau threefold X is largely constrained by supersymmetry (which demands quaternion-K\"ahlerity), S-duality (which requires an isometric action of SL(2,…

High Energy Physics - Theory · Physics 2015-03-30 Sergei Alexandrov , Jan Manschot , Daniel Persson , Boris Pioline