2009/09/30 by Mina Aganagic, Christopher Beem · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1007/jhep12(2011)060
published as JHEP 1112 (2011) 060 · v2: 30 pages, harvmac; appendix added, reference added, typos corrected
arxiv created 2009/10/13 · openalex publication_date 2011/12/01 · arxiv updated 2011/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The disk partition function of the open topological string computes the spacetime superpotential for D-branes wrapping cycles of a compact Calabi-Yau threefold. We use string duality to show that when appropriately formulated, the problem admits a natural geometrization in terms of a non-compact Calabi-Yau fourfold without D-branes. The duality relates the D-brane superpotential to a flux superpotential on the fourfold. This sheds light on several features of superpotential computations appearing in the literature, in particular on the observation that Calabi-Yau fourfold geometry enters the problem. In one of our examples, we show that the geometry of fourfolds also reproduces the D-brane superpotentials obtained from matrix factorization methods.