Remark on modular weights in low-energy effective field theory from type II string theory

Abstract

We revisit the modular weights in type IIB magnetized D-brane models. The simple analysis of wave function shows that the four-dimensional matter fields have the modular weight -1/2, but it may shift as one in type IIA intersecting D-brane models. For example, the localized gauge flux as well as the localized curvature can shift the modular weight in the magnetized D-brane models. Such corrections do not affect physical couplings such as physical Yukawa couplings. However, it leads to differences in supersymmetry breaking sfermion masses, which depend on the modular weights, although the $A$-term coefficients and the sum of sfermion masses squared seem to be the same between two models.

22 pages, v2: published version

References in corpus (18)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Lessons from eclectic flavor symmetries
• Modular Flavor Symmetry on Magnetized Torus
• Revisiting modular symmetry in magnetized torus and orbifold compactifications
• Modular symmetry by orbifolding magnetized $T^2\times T^2$: realization of double cover of ${\Gamma }_N$
• Metaplectic Flavor Symmetries from Magnetized Tori
• Eclectic flavor scheme from ten-dimensional string theory -- II. Detailed technical analysis
• Instantons and Holomorphic Couplings in Intersecting D-brane Models
• Modular flavor symmetries of three-generation modes on magnetized toroidal orbifolds
• The eclectic flavor symmetry of the ${\mathbb{Z}}_2$ orbifold
• Spontaneous CP violation and symplectic modular symmetry in Calabi-Yau compactifications
• Symplectic modular symmetry in heterotic string vacua: flavor, CP, and $R$-symmetries
• Wave Functions and Yukawa Couplings in Local String Compactifications
• Massive modes in magnetized brane models
• Gauge Thresholds and Kaehler Metrics for Rigid Intersecting D-brane Models
• Loop Fayet-Iliopoulos terms in $T^2/Z_2$ models: instability and moduli stabilization
• 4D effective action from non-Abelian DBI action with magnetic flux background
• Heterotic Stringy Corrections to Metrics of Toroidal Orbifolds and Their Resolutions

Cited by in corpus (1)

• Flavor, CP and Metaplectic Modular Symmetries in Type IIB Chiral Flux Vacua