Effective field theory for magnetic compactifications

Abstract

Magnetic flux plays an important role in compactifications of field and string theories in two ways, it generates a multiplicity of chiral fermion zero modes and it can break supersymmetry. We derive the complete four-dimensional effective action for N=1 supersymmetric Abelian and non-Abelian gauge theories in six dimensions compactified on a torus with flux. The effective action contains the tower of charged states and it accounts for the mass spectrum of bosonic and fermionic fields as well as their level-dependent interactions. This allows us to compute quantum corrections to the mass and couplings of Wilson lines. We find that the one-loop corrections vanish, contrary to the case without flux. This can be traced back to the spontaneous breaking of a symmetry of the six-dimensional theory by the background gauge field, with the Wilson line as Goldstone boson.

34 pages, 6 figures; published version

References in corpus (9)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Flux Compactification
• Operator analysis of physical states on magnetized $T^2/Z_N$ orbifolds
• CP-violating phase on magnetized toroidal orbifolds
• Massive modes in magnetized brane models
• Flux Stabilization in 6 Dimensions: D-terms and Loop Corrections
• de Sitter vacua from an anomalous gauge symmetry
• de Sitter vacua and supersymmetry breaking in six-dimensional flux compactifications
• Supersymmetric models on magnetized orbifolds with flux-induced Fayet-Iliopoulos terms

Cited by in corpus (23)

• Metaplectic Flavor Symmetries from Magnetized Tori
• Zero-modes on orbifolds : magnetized orbifold models by modular transformation
• Flavour mixings in flux compactifications
• Flux compactifications and naturalness
• Wilson lines and UV sensitivity in magnetic compactifications
• The Toric SO(10) F-Theory Landscape
• Brane-localized masses in magnetic compactifications
• 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
• Magnetized orbifolds and localized flux
• Modular symmetry and zeros in magnetic compactifications
• Forays into the dark side of the swamp
• 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
• Seesaw mechanism in magnetic compactifications
• Effects of localized μ-terms at the fixed points in magnetized orbifold models
• 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