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...
Gespeichert in:
| 1. Verfasser: | |
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| Dokumenttyp: | Article (Journal) Kapitel/Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
2007
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| In: |
Arxiv
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| Online-Zugang: | Verlag, kostenfrei, Volltext: http://arxiv.org/abs/0712.2775
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| Verfasserangaben: | Johannes Walcher, School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey, USA |
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| 245 | 1 | 0 | |a Evidence for tadpole cancellation in the topological string |c Johannes Walcher, School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey, USA |
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| 520 | |a 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. | ||
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