Flux compactifications and naturalness

Abstract

Free massless scalars have a shift symmetry. This is usually broken by gauge and Yukawa interactions, such that quantum corrections induce a quadratically divergent mass term. In the Standard Model this leads to the hierarchy problem of the electroweak theory, the question why the Higgs mass is so much smaller than the Planck mass. We present an example where a large scalar mass term is avoided by coupling the scalar to an infinite tower of massive states which are obtained from a six-dimensional theory compactified on a torus with magnetic flux. The series of divergent quantum corrections adds up to zero, and we show explicitly that the shift symmetry of the scalar is preserved in the effective four-dimensional theory despite the presence of gauge and Yukawa interaction terms.

20 pages, 2 figures; some clarifications in abstract and outlook

References in corpus (4)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Massive modes in magnetized brane models
• Flux Stabilization in 6 Dimensions: D-terms and Loop Corrections
• Wilson lines and UV sensitivity in magnetic compactifications

Cited by in corpus (18)

• Metaplectic Flavor Symmetries from Magnetized Tori
• 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
• Modular symmetry and zeros in magnetic compactifications
• Magnetized orbifolds and localized flux
• The shadow of dark matter as a shadow of string theory
• Forays into the dark side of the swamp
• Nonvanishing Finite Scalar Mass in Flux Compactification
• Perspectives and Outlook from HEP Window on the Universe
• Quantum corrections for D-brane models with broken supersymmetry
• 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
• Wavefunctions on $S^2$ with flux and branes
• Pseudo-Nambu-Goldstone bosons and tachyons in flux compactification
• Pseudo-Nambu-Goldstone Dark Matter in Flux Compactification