Wilson lines and UV sensitivity in magnetic compactifications

Abstract

We investigate the ultraviolet (UV) behaviour of 6D N=1 supersymmetric effective (Abelian) gauge theories compactified on a two-torus ($T_2$) with magnetic flux. To this purpose we compute offshell the one-loop correction to the Wilson line state self-energy. The offshell calculation is actually necessary to capture the usual effective field theory expansion in powers of $(\partial /\Lambda )$. Particular care is paid to the regularization of the (divergent) momentum integrals, which is relevant for identifying the corresponding counterterm(s). We find a counterterm which is a new higher dimensional effective operator of dimension d=6, that is enhanced for a larger compactification area (where the effective theory applies) and is consistent with the symmetries of the theory. Its consequences are briefly discussed and comparison is made with orbifold compactifications without flux.

12 pages, 1 figure; (v2: added references and paragraph on page 7)

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• Supersymmetric Models with Higher Dimensional Operators
• Classification of three-generation models on magnetized orbifolds
• Living with Ghosts and their Radiative Corrections
• Operator analysis of physical states on magnetized $T^2/Z_N$ orbifolds
• Massive modes in magnetized brane models
• Shifted orbifold models with magnetic flux
• Flavour mixings in flux compactifications
• Higher derivatives and brane-localised kinetic terms in gauge theories on orbifolds
• Quantum Corrections to Non-Abelian SUSY Theories on Orbifolds
• Brane-localized masses in magnetic compactifications
• Supersymmetric models on magnetized orbifolds with flux-induced Fayet-Iliopoulos terms

Cited by in corpus (18)

• Metaplectic Flavor Symmetries from Magnetized Tori
• Zero-modes on orbifolds : magnetized orbifold models by modular transformation
• Flux compactifications and naturalness
• The Toric SO(10) F-Theory Landscape
• 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
• 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
• Wavefunctions on $S^2$ with flux and branes
• Pseudo-Nambu-Goldstone Dark Matter in Flux Compactification
• Pseudo-Nambu-Goldstone bosons and tachyons in flux compactification