Journal of High Energy Physics (Apr 2023)

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

  • Shota Kikuchi,
  • Tatsuo Kobayashi,
  • Kaito Nasu,
  • Hajime Otsuka,
  • Shohei Takada,
  • Hikaru Uchida

DOI
https://doi.org/10.1007/JHEP04(2023)003
Journal volume & issue
Vol. 2023, no. 4
pp. 1 – 22

Abstract

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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.

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