D-branes on orbifolds and topology change Original Research Article

We consider D-branes on an orbifold C3/Zn and investigate the moduli kspace of the D-brane world-volume gauge theory by using toric geometry and gauged linear sigma models. For n = 11, we find that there are five phases, which are topologically distinct and connected by flops to each other. We also verify that non-geometric phases are projected out for n = 7, 9, 11 cases, as expected. Resolutions of non-isolated singularities are also investigated.