Loop Fayet-Iliopoulos terms in $T^2/Z_2$ models: instability and moduli stabilization

Abstract

We study Fayet-Iliopoulos (FI) terms of six-dimensional supersymmetric Abelian gauge theory compactified on a $T^2/Z_2$ orbifold. Such orbifold compactifications can lead to localized FI-terms and instability of bulk zero modes. We study 1-loop correction to FI-terms in more general geometry than the previous works. We find induced FI-terms depend on the complex structure of the compact space. We also find the complex structure of the torus can be stabilized at a specific value corresponding to a self-consistent supersymmetric minimum of the potential by such 1-loop corrections, which is applicable to the modulus stabilization.

arXiv comment28 pages, 4 figures

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• Double Cover of Modular $S_4$ for Flavour Model Building
• Fermion Mass Hierarchies, Large Lepton Mixing and Residual Modular Symmetries
• Landscape of Modular Symmetric Flavor Models
• Modular invariant flavor model of ${\mathrm{A}}_4$ and hierarchical structures at nearby fixed points
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• The eclectic flavor symmetry of the ${\mathbb{Z}}_2$ orbifold
• CP Symmetry and Symplectic Modular Invariance
• Modular symmetry in the SMEFT
• Quark hierarchical structures in modular symmetric flavor models at level 6
• Lepton mass matrix from double covering of $A_4$ modular flavor symmetry
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• Remark on modular weights in low-energy effective field theory from type II string theory
• Modular Flavour Symmetries and Modulus Stabilisation
• Yukawa textures in modular symmetric vacuum of magnetized orbifold models