Evidence for tadpole cancellation in the topological string
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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
2007
|
| In: |
Arxiv
|
| Online Access: | Verlag, kostenfrei, Volltext: http://arxiv.org/abs/0712.2775
|
| Author Notes: | Johannes Walcher, School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey, USA |
| Summary: | 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. |
|---|---|
| Item Description: | Gesehen am 25.02.2020 |
| Physical Description: | Online Resource |