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This paper proves the stability, with respect to the evolution determined by the vacuum Einstein equations, of the Cartesian product of high-dimensional Minkowski space with a compact, Ricci-flat Riemannian manifold that admits a spin…

Analysis of PDEs · Mathematics 2023-11-22 Lars Andersson , Pieter Blue , Zoe Wyatt , Shing-Tung Yau

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

We discuss the vacuum structure of type IIA/B Calabi-Yau string compactifications to four dimensions in the presence of n-form H-fluxes. These will lift the vacuum degeneracy in the Calabi-Yau moduli space, and for generic points in the…

High Energy Physics - Theory · Physics 2010-12-03 G. Curio , A. Klemm , D. Luest , S. Theisen

We study moduli stabilization by thermal effects in the cosmological context. The implementation of finite temperature, which spontaneously breaks supersymmetry, induces an effective potential at one loop level. At the points where extra…

High Energy Physics - Theory · Physics 2015-06-03 Lihui Liu

Motivated by a class of flux compactifications of type IIA strings on rigid Calabi-Yau manifolds, preserving N=2 local supersymmetry in four dimensions, we derive a non-perturbative potential of all scalar fields from the exact D-instanton…

High Energy Physics - Theory · Physics 2025-07-14 Sergei Alexandrov , Sergei V. Ketov , Yuki Wakimoto

We consider flux compactification of type IIB string theory as the orientifold limit of an F-theory on a Calabi-Yau fourfold. We show that when supersymmetry is dominantly broken by the axion-dilaton and the contributions of the F-terms…

High Energy Physics - Theory · Physics 2009-01-17 Masoud Soroush

We study the reliability of the Two-Step moduli stabilization in the type-IIB Large Volume Scenarios with matter and gauge interactions. The general analysis is based on a family of N=1 Supergravity models with a factorizable Kaehler…

High Energy Physics - Theory · Physics 2011-07-06 Diego Gallego

We consider the Type IIB string theory in the presence of various extra $7/\bar 7$-brane pairs compactified on a warped Calabi-Yau threefold that admits a conifold singularity. We demonstrate that the volume modulus can be stabilized…

High Energy Physics - Theory · Physics 2010-02-03 Konstantin Bobkov

In order to support the odd moduli in models of (type IIB) string compactification, we classify the Calabi-Yau threefolds with h^{1,1}<=4 which exhibit pairs of identical divisors, with different line-bundle charges, mapping to each other…

High Energy Physics - Theory · Physics 2013-11-27 Xin Gao , Pramod Shukla

We study the possibility of obtaining metastable de Sitter vacua of heterotic string theory compactified on a Calabi-Yau threefold which are classical and simple in the K\"ahler moduli sector of the theory. For this, we exploit a known…

High Energy Physics - Theory · Physics 2013-05-08 Dirk Rathlev

Superstring theories are the most promising theories for unified description of all fundamental interactions including gravity. However, these theories are formulated consistently only in 10 spacetime dimensions. Therefore, to connect to…

High Energy Physics - Theory · Physics 2016-09-16 Sibasish Banerjee

We consider an open-string realisation of $\mathcal{N}=2\to \mathcal{N}=0$ spontaneous breaking of supersymmetry in four-dimensional Minkowski spacetime. It is based on type IIB orientifold theory compactified on $T^2\times…

High Energy Physics - Theory · Physics 2024-05-07 Steven Abel , Thibaut Coudarchet , Hervé Partouche

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 present a new class of dualities relating non-geometric Calabi-Yau compactifications of type II string theory to T-fold compactifications of the heterotic string, both preserving four-dimensional $\mathcal{N}=2$ supersymmetry. The…

High Energy Physics - Theory · Physics 2020-01-08 Yoan Gautier , Chris M. Hull , Dan Israël

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 the correspondence between existence/stability of BPS states in type II string theory compactified on a Calabi-Yau manifold and BPS solutions of four dimensional N=2 supergravity. Some paradoxes emerge, and we propose a…

High Energy Physics - Theory · Physics 2010-11-19 Frederik Denef

F-theory compactifications on Calabi-Yau fivefolds give rise to two-dimensional N=(0,2) supersymmetric field theories coupled to gravity. We explore the dilaton supergravity defined by the moduli sector of such compactifications. The…

High Energy Physics - Theory · Physics 2017-08-23 Craig Lawrie , Sakura Schafer-Nameki , Timo Weigand

Compactifications of type II theories on Calabi-Yau threefolds including electric and magnetic background fluxes are discussed. We derive the bosonic part of the four-dimensional low energy effective action and show that it is a…

High Energy Physics - Theory · Physics 2010-11-19 Jan Louis , Andrei Micu

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 scalar potential in supersymmetric (orientifolded) Calabi Yau compactifications of Type IIB theory. We present a new mechanism to stabilize all closed string moduli at leading order in \alpha^{'} by introducing consistently…

High Energy Physics - Theory · Physics 2009-11-11 Maria Pilar Garcia del Moral