Cancellation of One-loop Corrections to Scalar Masses in Yang-Mills Theory with Flux Compactification

Abstract

We calculate one-loop corrections to the mass for the zero mode of scalar field in a six-dimensional Yang-Mills theory compactified on a torus with magnetic flux. It is shown that these corrections are exactly cancelled thanks to a shift symmetry under the translation in extra spaces. This result is expected from the fact that the zero mode of scalar field is a Nambu-Goldstone boson of the translational invariance in extra spaces.

arXiv comment21 pages, 8 figures

References in corpus (8)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Computing Yukawa Couplings from Magnetized Extra Dimensions
• Higher Order Couplings in Magnetized Brane Models
• Six Dimensional Gauge-Higgs Unification with an Extra Space S^2 and the Hierarchy Problem
• Effective field theory for magnetic compactifications
• Yukawa couplings in 6D gauge-Higgs unification on $T^2/Z_N$ with magnetic fluxes
• Flux compactifications and naturalness
• Wilson lines and UV sensitivity in magnetic compactifications

Cited by in corpus (12)

• Metaplectic Flavor Symmetries from Magnetized Tori
• Wilson-line Scalar as a Nambu-Goldstone Boson in Flux Compactifications and Higher-loop Corrections
• Modular symmetry and zeros in magnetic compactifications
• Quantum corrections for D-brane models with broken supersymmetry
• Nonvanishing Finite Scalar Mass in Flux Compactification
• Mass spectrum in a six-dimensional $SU(n)$ gauge theory on a magnetized torus
• Gauge Symmetry Breaking in Flux Compactification with Wilson-line Scalar Condensate
• Cancellation of One-loop Corrections to Scalar Masses in Flux Compactification with Higher Dimensional Operators
• Extranatural Flux Inflation
• Roles of electric field/time-dependent Wilson line in toroidal compactification with or without magnetic fluxes
• Pseudo-Nambu-Goldstone Dark Matter in Flux Compactification
• Pseudo-Nambu-Goldstone bosons and tachyons in flux compactification