Evidence for Tadpole Cancellation in the Topological String
arXiv:0712.2775
Abstract
We study the topological string on compact Calabi-Yau threefolds in the presence of orientifolds and D-branes. In examples, we find that the total topological string amplitude admits a BPS expansion only if the topological charge of the D-brane is equal to that of the orientifold plane. We interpret this as a manifestation of a general tadpole cancellation condition in the topological string that is necessary for decoupling of A- and B-model in loop amplitudes. Our calculations in the A-model involve an adapted version of existing localization techniques, and give predictions for the real enumerative geometry of higher genus curves in Calabi-Yau manifolds. In the B-model, we introduce an extension of the holomorphic anomaly equation to unoriented strings.
57 pages, 9 figures, v2: minor clarifications
References in corpus (11)
- Spacetime Instanton Corrections in 4D String Vacua - The Seesaw Mechanism for D-Brane Models
- Open string amplitudes and large order behavior in topological string theory
- N=1 Special Geometry, Mixed Hodge Variations and Toric Geometry
- Holomorphic N=1 Special Geometry of Open--Closed Type II Strings
- D-branes and Normal Functions
- BPS Microstates and the Open Topological String Wave Function
- Topological String Theory on Compact Calabi-Yau: Modularity and Boundary Conditions
- Invariants of algebraic curves and topological expansion
- The Reduced Genus-One Gromov-Witten Invariants of Calabi-Yau Hypersurfaces
- Comments on the Holomorphic Anomaly in Open Topological String Theory
- On solutions to Walcher's extended holomorphic anomaly equation