Moduli webs and superpotentials for five-branes

2008/12/18 by Marco Baumgartl, Simon Wood · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1088/1126-6708/2009/06/052

published as JHEP 0906:052,2009 · 41 pages, 1 figure

arxiv created 2008/12/18 · openalex publication_date 2009/06/16 · arxiv updated 2011/02/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the one-parameter Calabi-Yau models and identify families of D5-branes which are associated to lines embedded in these manifolds. The moduli spaces are given by sets of Riemann curves, which form a web whose intersection points are described by permutation branes. We arrive at a geometric interpretation for bulk-boundary correlators as holomorphic differentials on the moduli space and use this to compute effective open-closed superpotentials to all orders in the open string couplings. The fixed points of D5-brane moduli under bulk deformations are determined.

Citations

• On N=1 Mirror Symmetry for Open Type II Strings
• Phases Of N=2 Theories In 1+1 Dimensions With Boundary
• Mirror Symmetry, D-Branes and Counting Holomorphic Discs
• Considerations of one-modulus Calabi-Yau compactifications: Picard-Fuchs equations, Kähler potentials and mirror maps
• A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory
• N=1 Special Geometry, Mixed Hodge Variations and Toric Geometry
• The classification of football patterns
• The D5-brane effective action and superpotential in N=1 compactifications
• D-branes on Calabi–Yau Manifolds and Superpotentials
• Permutation branes

Cited by

• Five-brane superpotentials and heterotic/F-theory duality