Abstract

We define D-branes in linear sigma models corresponding to toric Calabi–Yau varieties. This enables us to study the transportation of D-branes along general paths in the Kahler moduli space. The most important finding is the grade restriction rule. It classifies Chan–Paton representations of the gauge group that are allowed when we cross the phase boundaries. Upon reduction to the chiral sector, we find equivalences of the derived categories on different toric varieties on the same Kahler moduli space.

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