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Kinetic mixing of \(\operatorname{U}(1)\)s in heterotic orbifolds. (English) Zbl 1306.81236
Summary: We study kinetic mixing between massless \(\operatorname{U}(1)\) gauge symmetries in the bosonic formulation of heterotic orbifold compactifications. For non-prime \(\mathbb Z_{N}\) factorisable orbifolds, we find a simple expression of the mixing in terms of the properties of the \( \mathcal{N} = 2\) subsectors, which helps to understand under what conditions mixing can occur. With this tool, we analyze \(\mathbb Z_{6}\)-II heterotic orbifolds and find non-vanishing mixing even without including Wilson lines. We show that some semi-realistic models of the Mini-Landscape admit supersymmetric vacua with mixing between the hypercharge and an additional \(\operatorname{U}(1)\), which can be broken at low energies. We finally discuss some phenomenologically appealing possibilities that hidden photons in heterotic orbifolds allow.

MSC:
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T13 Yang-Mills and other gauge theories in quantum field theory
83E15 Kaluza-Klein and other higher-dimensional theories
57R18 Topology and geometry of orbifolds
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