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We prove a conjecture by F. Ferrari. Let X be the total space of a nonlineardeformation of a rank 2 holomorphic vector bundle on a smooth rational curve,such that X has trivial canonical bundle and has sections. Then the normalbundle to such sections is computed in terms of the rank of the Hessian of asuitably defined superpotential at its critical points

Normal Bundles to Laufer Rational Curves in Local Calabi–Yau Threefolds