Duality between string junctions and D-branes on del Pezzo surfaces Original Research Article

We revisit local mirror symmetry associated with del Pezzo surfaces in Calabi–Yau threefolds in view of five-dimensional N=1 EN theories compactified on a circle. The mirror partner of singular Calabi–Yau with a shrinking del Pezzo four-cycle is described as the affine 7-brane backgrounds probed by a D3-brane. Evaluating the mirror map and the BPS central charge we relate junction charges to RR charges of D-branes wrapped on del Pezzo surfaces. This enables us to determine how the string junctions are mapped to D-branes on del Pezzo surfaces.