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Quantum geometry of elliptic Calabi-Yau manifolds
- Source :
- Comm. Number Theor. Phys. 6 (2012) 849-917
- Publication Year :
- 2012
-
Abstract
- We study the quantum geometry of the class of Calabi-Yau threefolds, which are elliptic fibrations over a two-dimensional toric base. A holomorphic anomaly equation for the topological string free energy is proposed, which is iterative in the genus expansion as well as in the curve classes in the base. T-duality on the fibre implies that the topological string free energy also captures the BPS-invariants of D4-branes wrapping the elliptic fibre and a class in the base. We verify this proposal by explicit computation of the BPS invariants of 3 D4-branes on the rational elliptic surface.<br />Comment: 63 pages, 4 figures
- Subjects :
- High Energy Physics - Theory
Subjects
Details
- Database :
- arXiv
- Journal :
- Comm. Number Theor. Phys. 6 (2012) 849-917
- Publication Type :
- Report
- Accession number :
- edsarx.1205.1795
- Document Type :
- Working Paper