Advances in High Energy Physics

Research Article

Del Pezzo Singularities and SUSY Breaking

Table 1

Some characteristics of del Pezzo surfaces.
Del PezzoNo. two-cyclesNo. (βˆ’2) two-cyclesDynkin’s diagram 𝑐 ∨ βˆ’ 1
β„™ 2 1 0 0 0
β„™ 1 Γ— β„™ 1 2 1 𝐴 1 1
𝑑 𝑃 1 2 0 0 0
𝑑 𝑃 2 3 1 𝐴 1 1
𝑑 𝑃 3 4 3 𝐴 2 Γ— 𝐴 1 3
𝑑 𝑃 4 5 4 𝐴 4 4
𝑑 𝑃 5 6 5 𝐷 5 7
𝑑 𝑃 6 7 6 𝐸 6 11
𝑑 𝑃 7 8 7 𝐸 7 17
𝑑 𝑃 8 9 8 𝐸 8 29