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We compute the potential energy for the dilaton, complex structure and Kahler moduli and search of realistic vacua of heterotic M-theory compactified on Calabi-Yau threefolds. We present a protocol for deriving the potential that combines…

High Energy Physics - Theory · Physics 2024-05-15 Cédric Deffayet , Burt A. Ovrut , Paul J. Steinhardt

We show how non-trivial form fields can induce an effective potential for the dilaton and metric moduli in compactifications of type II string theory and M-theory. For particular configurations, the potential can have a stable minimum. In…

High Energy Physics - Theory · Physics 2014-11-18 Andre Lukas , Burt A. Ovrut , Daniel Waldram

We study the moduli stabilization from the viewpoint of modular flavor symmetries. We systematically analyze stabilized moduli values in possible configurations of flux compactifications, investigating probabilities of moduli values and…

High Energy Physics - Phenomenology · Physics 2021-04-07 Keiya Ishiguro , Tatsuo Kobayashi , Hajime Otsuka

We propose new classes of inflation models based on the modular symmetry, where the modulus field $\tau$ serves as the inflaton. We establish a connection between modular inflation and modular stabilization, wherein the modulus field rolls…

High Energy Physics - Phenomenology · Physics 2024-10-21 Gui-Jun Ding , Si-Yi Jiang , Wenbin Zhao

We point out that the cosmological moduli problem is not necessarily resolved even if the modulus mass is heavier than O(10)TeV, contrary to the common wisdom. The point is that, in many scenarios where the lightest moduli fields are…

High Energy Physics - Phenomenology · Physics 2015-06-15 Tetsutaro Higaki , Kazunori Nakayama , Fuminobu Takahashi

We study the spontaneous $CP$ violation through the stabilization of the modulus $\tau$ in modular invariant flavor models. The $CP$-invaraiant potentential has the minimum only at ${\rm Re}[\tau] = 0$ or 1/2. From this prediction, we study…

High Energy Physics - Phenomenology · Physics 2020-04-08 Tatsuo Kobayashi , Yusuke Shimizu , Kenta Takagi , Morimitsu Tanimoto , Takuya H. Tatsuishi , Hikaru Uchida

In this paper, we show how the generic coupling of moduli to the kinetic energy of ordinary matter fields results in a cosmological mechanism that influences the evolution and stability of moduli. As an example, we reconsider the problem of…

High Energy Physics - Theory · Physics 2009-09-15 Greg Huey , Paul J. Steinhardt , Burt A. Ovrut , Daniel Waldram

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

To obtain natural inflation with large tensor-to-scalar ratio in string framework, we need a special moduli stabilization mechanism which can separate the masses of real and imaginary components of K\"ahler moduli at different scales, and…

High Energy Physics - Theory · Physics 2015-06-22 Tianjun Li , Zhijin Li , Dimitri V. Nanopoulos

This brief article reviews a recently proposed scenario of moduli stabilization constructed in the vicinity of a conifold locus in the complex structure moduli space. We discuss typical features of moduli stabilization due to the…

High Energy Physics - Theory · Physics 2017-04-14 Ralph Blumenhagen , Daniela Herschmann , Florian Wolf

A warped space model with a constant boundary superpotential has been an efficient model both to break supersymmetry and to stabilize the radius, when hypermultiplet, compensator and radion multiplet are taken into account. In such a model…

High Energy Physics - Theory · Physics 2008-11-26 Nobuhito Maru , Norisuke Sakai , Nobuhiro Uekusa

We present a novel framework of the post-inflationary composite axion to address the strong CP problem without the cosmological domain wall problem. Conventional composite axion models lead to the domain wall number greater than one,…

High Energy Physics - Phenomenology · Physics 2026-04-30 Shihwen Hor , Yuichiro Nakai , Motoo Suzuki , Junxuan Xu

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

High Energy Physics - Phenomenology · Physics 2010-04-05 K. S. Babu , Ilia Gogoladze , Kai Wang

We suggest a new solution to the strong CP problem. The solution is based on the proper use of the boundary conditions for the QCD generating functional integral. We expand the perturbative boundary conditions to both perturbative and…

High Energy Physics - Phenomenology · Physics 2023-12-19 S. A. Larin

We present a novel strategy to systematically study complex-structure moduli stabilization in Type IIB and F-theory flux compactifications. In particular, we determine vacua in any asymptotic regime of the complex-structure moduli space by…

High Energy Physics - Theory · Physics 2022-04-13 Thomas W. Grimm , Erik Plauschinn , Damian van de Heisteeg

We perform the covariant canonical quantization of the CPT- and Lorentz-symmetry-violating photon sector of the minimal Standard-Model Extension, which contains a general (timelike, lightlike, or spacelike) fixed background tensor…

High Energy Physics - Theory · Physics 2017-02-08 D. Colladay , P. McDonald , J. P. Noordmans , R. Potting

In the present paper, we reexamine the moduli stabilization problem of the Type IIB orientifolds with one complex structure modulus in a modified two-step procedure. The full superpotential including both the 3-form fluxes and the…

High Energy Physics - Theory · Physics 2008-11-26 Huan-Xiong Yang

Building upon the idea in \cite{HNWarXiv24}, we establish stability of the type-I blowup with log correction for the complex Ginzburg-Landau equation. In the amplitude-phase representation, a generalized dynamic rescaling formulation is…

Analysis of PDEs · Mathematics 2024-07-23 Jiajie Chen , Thomas Y. Hou , Van Tien Nguyen , Yixuan Wang

Modulus stabilization, a must for explaining the hierarchy problem in the context of the Randall-Sundrum (RS) scenario, is traditionally achieved through the introduction of an extra field with {\em ad hoc} couplings. We point out that the…

High Energy Physics - Theory · Physics 2015-08-05 Sampurn Anand , Debajyoti Choudhury , Anjan A. Sen , Soumitra SenGupta

In this paper, we show that the presence of gauge fields in heterotic Calabi-Yau compacitifications causes the stabilisation of some, or all, of the complex structure moduli of the Calabi-Yau manifold while maintaining a Minkowski vacuum.…

High Energy Physics - Theory · Physics 2011-03-02 Lara B. Anderson , James Gray , Andre Lukas , Burt Ovrut