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We give an explicit realization of the "String Axiverse" discussed in Arvanitaki et. al \cite{Arvanitaki:2009fg} by extending our previous results on moduli stabilization in $M$ theory to include axions. We extend the analysis of…

High Energy Physics - Theory · Physics 2010-12-09 Bobby Samir Acharya , Konstantin Bobkov , Piyush Kumar

We perform a systematic analysis of moduli stabilisation for weakly coupled heterotic string theory compactified on manifolds which are Calabi-Yau up to alpha' effects. We review how to fix all geometric and bundle moduli in a…

High Energy Physics - Theory · Physics 2015-06-15 Michele Cicoli , Senarath de Alwis , Alexander Westphal

We demonstrate a unified resolution to the strong CP, hierarchy, and cosmological constant problems in type IIA flux compactifications, via 4-form fluxes and KL stabilization. We show that the strong CP problem can be effectively "solved"…

High Energy Physics - Theory · Physics 2025-06-17 Yang Liu

Three possible strategies have been advocated to solve the strong CP problem. The first is the axion, a dynamical mechanism that relaxes any initial value of the CP violating angle $\bar{\theta}$ to zero. The second is the imposition of new…

High Energy Physics - Phenomenology · Physics 2025-05-14 David E. Kaplan , Tom Melia , Surjeet Rajendran

The axion solution to the strong CP problem makes use of a global Peccei-Quinn (PQ) U(1) symmetry which is susceptible to violations from quantum gravitational effects. We show explicitly how discrete gauge symmetries can protect the axion…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kai Wang

We propose a new type of axion inflation with complex structure moduli in the framework of type IIB superstring theory compactified on Calabi-Yau manifold. The inflaton is identified as the axion for the complex structure moduli whose…

High Energy Physics - Phenomenology · Physics 2017-05-11 Tatsuo Kobayashi , Akane Oikawa , Hajime Otsuka

In this note we analyse the issue of moduli stabilisation in 4d models obtained from heterotic string compactifications on manifolds with SU(3) structure with standard embedding. In order to deal with tractable models we first integrate out…

High Energy Physics - Theory · Physics 2010-02-15 Andrei Micu

We employ an $SU(2)$ bulk Higgs doublet as the stabilization field in Randall-Sundrum model with appropriate bulk and brane-localized potentials. The gauge hierarchy problem can be solved for an exponentially IR-localized Higgs background…

High Energy Physics - Phenomenology · Physics 2016-01-20 Aqeel Ahmed , Bohdan Grzadkowski , John F. Gunion , Yun Jiang

The possibility of spontaneous breaking of CP symmetry by the expectation values of orbifold moduli is investigated with particular reference to $CP$ violating phases in soft supersymmetry breaking terms. The effect of different mechanisms…

High Energy Physics - Theory · Physics 2014-11-18 D. Bailin , G. V. Kraniotis , A. Love

In a class of modular-invariant models with multiple moduli fields, the viable lepton flavour mixing pattern can be realised if the values of moduli are selected to be at the fixed points. In this paper, we investigate a modulus…

High Energy Physics - Phenomenology · Physics 2024-10-22 Stephen F. King , Xin Wang

We demonstrate that flux compactifications of type IIA string theory can classically stabilize all geometric moduli. For a particular orientifold background, we explicitly construct an infinite family of supersymmetric vacua with all moduli…

High Energy Physics - Theory · Physics 2009-11-11 Oliver DeWolfe , Alexander Giryavets , Shamit Kachru , Washington Taylor

Tree-level moduli stabilization via geometric and non-geometric fluxes in type IIB orientifolds on Calabi-Yau manifolds is investigated. The focus is on stable non-supersymmetric minima, where all moduli are fixed except for some massless…

High Energy Physics - Theory · Physics 2015-12-09 Ralph Blumenhagen , Anamaria Font , Michael Fuchs , Daniela Herschmann , Erik Plauschinn , Yuta Sekiguchi , Florian Wolf

We propose a massless nonminimally coupled scalar field as a mechanism for stabilizing the size of the extradimension in the Randall-Sundrum I scenario. Without needing to introduce self interactions terms we obtain a potential for the…

High Energy Physics - Theory · Physics 2007-05-23 L. N. Granda

We propose a scenario to stabilize all geometric moduli - that is, the complex structure, Kahler moduli and the dilaton - in smooth heterotic Calabi-Yau compactifications without Neveu-Schwarz three-form flux. This is accomplished using the…

High Energy Physics - Theory · Physics 2011-06-08 Lara B. Anderson , James Gray , Andre Lukas , Burt Ovrut

In this work we investigate the moduli stabilisation problem and the requirements for de Sitter vacua within the framework of type IIB string theory. Using perturbative effects arising from the various sources such as $\alpha^\prime$…

High Energy Physics - Theory · Physics 2022-07-11 George K. Leontaris , Pramod Shukla

The role of moduli stabilization in predictions for CP violation is examined in the context of four-dimensional effective supergravity models obtained from the weakly coupled heterotic string. We point out that while stabilization of…

High Energy Physics - Phenomenology · Physics 2014-11-17 Joel Giedt

We have investigated moduli stabilization leading to hierarchical supersymmetry breakdown in racetrack models with two moduli fields simultaneously present in the effective racetrack superpotential. We have shown that stabilization of…

High Energy Physics - Phenomenology · Physics 2009-11-07 Rafal Ciesielski , Zygmunt Lalak

This paper presents finite-time and fixed-time stabilization results for inhomogeneous abstract evolution problems, extending existing theories. We prove well-posedness for strong and weak solutions, and estimate upper bounds for settling…

Systems and Control · Electrical Eng. & Systems 2026-02-12 Moussa Labbadi , Christophe Roman , Yacine Chitour

We study moduli stabilization in 4D effective field theories with Sp(4,$\mathbb{Z}$) self-duality inspired by heterotic orbifold compactifications with Wilson lines. The target-space duality group of these theories is enhanced from…

High Energy Physics - Theory · Physics 2026-05-08 Jacob M. Leedom , Nicole Righi , Alexander Westphal

In Quantum Gravity (QG), large moduli values lead to towers of exponentially light states, making the QG cut-off field-dependent. In 4D supersymmetric (SUSY) theories, this cut-off is set by the species scale $\Lambda(z_i, \bar{z}_i)$,…

High Energy Physics - Theory · Physics 2025-10-27 Gonzalo F. Casas , Luis E. Ibáñez