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arXiv · 2303.01747

Wilson-line Scalar Mass in Flux Compactification on an Orbifold $T^2/Z_2$

Nobuhito Maru·Hiroki Tanaka
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Abstract

In a torus compactification with magnetic flux, the scalar field generated from the higher dimensional gauge field becomes the Nambu-Goldstone boson of the translational symmetry in extra spaces and the mass of the scalar field is not allowed. In this paper, we explicitly show that the one-loop quantum correction to the mass of the scalar field is generated at fixed points in a case of an orbifold compactification $T^2/Z_2$ with magnetic flux. This is because the scalar field is a pseudo Nambu-Goldstone boson as a result of explicit breaking of the translational symmetry by the fixed points. This result might be possible to shed a new light on the solution of the hierarchy problem.

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Nobuhito Maru, Hiroki Tanaka. 2023-03-03. Wilson-line Scalar Mass in Flux Compactification on an Orbifold $T^2/Z_2$. https://arxiv.org/abs/2303.01747

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