Evidence for Tadpole Cancellation in the Topological String

Details Evidence for Tadpole Cancellation in the Topological String Evidence for Tadpole Cancellation in the Topological String

2007-12-17

arxiv.org/abs/0712.2775v2

Physics

High Energy Physics

High Energy Physics - Theory

57 pages, 9 figures, v2: minor clarifications

Scientific paper

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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