Wilson-line Scalar as a Nambu-Goldstone Boson in Flux Compactifications and Higher-loop Corrections

Abstract

We study a scalar zero mode originated from extradimensional components of a gauge field in a six-dimensional theory compactified on a magnetized torus. We confirm it is a Nambu-Goldstone boson of the translational symmetry on the torus which is breaking spontaneously due to magnetic flux. We also show explicitly it is massless up to the two-loop level. Moreover, we discuss full order contributions by considering the effective potential.

arXiv comment16 pages, 5 figures, version published in JHEP

References in corpus (9)

• Computing Yukawa Couplings from Magnetized Extra Dimensions
• Three generation magnetized orbifold models
• Massive modes in magnetized brane models
• Effective field theory for magnetic compactifications
• Yukawa couplings in 6D gauge-Higgs unification on $T^2/Z_N$ with magnetic fluxes
• Three-generation Models from E_8 Magnetized Extra Dimensional Theory
• Flux compactifications and naturalness
• Wilson lines and UV sensitivity in magnetic compactifications
• Cancellation of One-loop Corrections to Scalar Masses in Yang-Mills Theory with Flux Compactification

Cited by in corpus (9)

• 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
• Connecting Magic Dynamics in Thermofield Double States to Spectral Form Factors
• Pseudo-Nambu-Goldstone Dark Matter in Flux Compactification
• Pseudo-Nambu-Goldstone bosons and tachyons in flux compactification