Brane-localized masses in magnetic compactifications

Abstract

We discuss effects of the brane-localized mass terms on the fixed points of the toroidal orbifold $T^2/Z_2$ under the presence of background magnetic fluxes, where multiple lowest and higher-level Kaluza-Klein (KK) modes are realized before introducing the localized masses in general. Through the knowledge of linear algebra, we find that, in each KK level, one of or more than one of the degenerate KK modes are almost inevitably perturbed, when single or multiple brane-localized mass terms are introduced. When the typical scale of the compactification is far above the electroweak scale or the TeV scale, we apply this mechanism for uplifting unwanted massless or light modes which are prone to appear in models on magnetized orbifolds.

23 pages, 5 figures, 4 tables, version accepted in PRD

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• Flavour mixings in flux compactifications
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Cited by in corpus (10)

• Zero-modes on orbifolds : magnetized orbifold models by modular transformation
• Loop Fayet-Iliopoulos terms in $T^2/Z_2$ models: instability and moduli stabilization
• Thick branes with inner structure in mimetic gravity
• Flavour physics without flavour symmetries
• Wilson lines and UV sensitivity in magnetic compactifications
• Dynamical generation of fermion mass hierarchy in an extra dimension
• Dynamical generation of quark/lepton mass hierarchy in an extra dimension
• Effects of localized μ-terms at the fixed points in magnetized orbifold models
• Quark mass matrices in magnetized orbifold models with localized Fayet-Iliopoulos terms
• Wavefunctions on $S^2$ with flux and branes