Duality Between String Junctions and D-Branes on Del Pezzo Surfaces
Kenji Mohri, Yukiko Ohtake, Sung-Kil Yang
TL;DR
This paper explores the relationship between string junctions and D-branes on del Pezzo surfaces within the framework of local mirror symmetry and five-dimensional theories, revealing a detailed mapping between junction charges and D-brane charges.
Contribution
It establishes a precise correspondence between string junctions and D-branes on del Pezzo surfaces using mirror symmetry and BPS charge calculations.
Findings
Mapped junction charges to RR charges of D-branes
Described mirror partner as affine 7-brane backgrounds
Clarified the duality between string junctions and D-branes
Abstract
We revisit local mirror symmetry associated with del Pezzo surfaces in Calabi-Yau threefolds in view of five-dimensional N=1 E_N 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.
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