Nonvanishing Finite Scalar Mass in Flux Compactification

Abstract

We study possibilities to realize a nonvanishing finite Wilson line (WL) scalar mass in flux compactification. Generalizing loop integrals in the quantum correction to WL mass at one-loop, we derive the conditions for the loop integrals and mode sums in one-loop corrections to WL scalar mass to be finite. We further guess and classify the four-point and three-point interaction terms satisfying these conditions. As an illustration, the nonvanishing finite WL scalar mass is explicitly shown in a six dimensional scalar QED by diagrammatic computation and effective potential analysis. This is the first example of finite WL scalar mass in flux compactification.

arXiv comment21 pages, 1 figure, final version to appear in JHEP

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Cited by in corpus (5)

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• Gauge Symmetry Breaking in Flux Compactification with Wilson-line Scalar Condensate
• Extranatural Flux Inflation
• Pseudo-Nambu-Goldstone Dark Matter in Flux Compactification
• Pseudo-Nambu-Goldstone bosons and tachyons in flux compactification