Duality Between String Junctions and D-Branes on Del Pezzo Surfaces

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.

35 pages, Latex, 1 figure; typos corrected, references updated

References in corpus (11)

• Supergravity flows and D-brane stability
• BPS states and algebras from quivers
• D-branes on some one- and two-parameter Calabi-Yau hypersurfaces
• D-Branes on K3-Fibrations
• D-Branes and Bundles on Elliptic Fibrations
• Topics in D-geometry
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• Five-Dimensional Gauge Theories and Local Mirror Symmetry
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• Stable Non-BPS States in F- theory

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• Non-simply-laced Lie algebras via F theory strings
• Geometric dualities in 4d field theories and their 5d interpretation
• Exceptional String: Instanton Expansions and Seiberg-Witten Curve
• Closed Sub-Monodromy Problems, Local Mirror Symmetry and Branes on Orbifolds
• The $U$-plane of rank-one 4d $\mathcal{N}=2$ KK theories
• Electric-Magnetic Duality in a Class of $G_2$-Compactifications of M-theory