Pseudo-Nambu-Goldstone bosons and tachyons in flux compactification

Abstract

In a six-dimensional gauge theory compactified on a torus with magnetic flux, translational symmetry in the extra dimensions is broken. As a result, a massless Nambu-Goldstone boson appears in the four-dimensional effective Lagrangian. We show that a model with two $U(1)$ gauge symmetries includes a pseudo-Nambu-Goldstone scalar boson, whose mass is finite but shielded from large quantum corrections. This opens the door to achieving scalar masses in the TeV range. Additionally, we explore the presence of tachyons in the effective Lagrangian for $SU(2)$ gauge theories. By introducing a scalar field in the adjoint representation of $SU(2)$ with a finite vacuum expectation value, we demonstrate that tachyonic modes can be eliminated for sufficiently large values of the coupling constant, while preserving fermion chirality in the model.

23 pages, 2 figures. v2: Internship report revised for publication, minor corrections, and additional references. Published in Fortschr. Phys

References in corpus (24)

• Electroweak symmetry breaking from dimensional deconstruction
• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Tachyon Dynamics in Open String Theory
• Open Strings
• The Composite Nambu-Goldstone Higgs
• Type-I strings on magnetised orbifolds and brane transmutation
• The Gauge Hierarchy Problem and Higher Dimensional Gauge Theories
• Computing Yukawa Couplings from Magnetized Extra Dimensions
• Finite Higgs mass without Supersymmetry
• The Origin of Spontaneous Symmetry Breaking in Theories with Large Extra Dimensions
• Recombination of Intersecting D-branes by Local Tachyon Condensation
• Massive modes in magnetized brane models
• Effective field theory for magnetic compactifications
• Three-generation Models from E_8 Magnetized Extra Dimensional Theory
• Flux compactifications and naturalness
• Flux Stabilization in 6 Dimensions: D-terms and Loop Corrections
• Wilson lines and UV sensitivity in magnetic compactifications
• Phenomenology of symmetry breaking from extra dimensions
• Cancellation of One-loop Corrections to Scalar Masses in Yang-Mills Theory with Flux Compactification
• Wilson-line Scalar as a Nambu-Goldstone Boson in Flux Compactifications and Higher-loop Corrections
• 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
• Extranatural Flux Inflation