English

On ADE Quiver Models and F-Theory Compactification

High Energy Physics - Theory 2009-11-11 v2

Abstract

Based on mirror symmetry, we discuss geometric engineering of N=1 ADE quiver models from F-theory compactifications on elliptic K3 surfaces fibered over certain four-dimensional base spaces. The latter are constructed as intersecting 4-cycles according to ADE Dynkin diagrams, thereby mimicking the construction of Calabi-Yau threefolds used in geometric engineering in type II superstring theory. Matter is incorporated by considering D7-branes wrapping these 4-cycles. Using a geometric procedure referred to as folding, we discuss how the corresponding physics can be converted into a scenario with D5-branes wrapping 2-cycles of ALE spaces.

Keywords

Cite

@article{arxiv.hep-th/0512321,
  title  = {On ADE Quiver Models and F-Theory Compactification},
  author = {A. Belhaj and J. Rasmussen and A. Sebbar and M. B. Sedra},
  journal= {arXiv preprint arXiv:hep-th/0512321},
  year   = {2009}
}

Comments

21 pages, Latex, minor changes

R2 v1 2026-07-22T15:34:03.881Z