Attractor mechanisms of moduli spaces of Calabi–Yau 3-folds

We investigate the complex and Kähler attractor mechanisms of moduli spaces Calabi–Yau 3-folds. The mechanism was previously studied by Ferrara–Kallosh–Strominger, Moore others in string theory. It is concerned with minimizing problems normalized central charges middle homology classes defines a new interesting class 3-folds called, varieties. In light mirror symmetry, we introduce define varieties are expected to possess very rich structures, particular certain rigidities.