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Flopping and slicing: $\operatorname{SO}(4)$ and $\operatorname{Spin}(4)$-models
We study the geometric engineering of gauge theories with gauge group Spin(4) and SO(4) using crepant resolutions of Weierstrass models.The corresponding elliptic fibrations realize a collision of singularities corresponding to two fibers with dual graphs Ã1 .There are eight different ways to engineer such collisions using decorated Kodaira fibers.The Mordell-Weil …