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arXiv · 0804.1120

New Anomalies in Topological String Theory

Paul L. H. Cook·Hirosi Ooguri·Jie Yang
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Abstract

We show that the topological string partition function with D-branes on a compact Calabi-Yau manifold has new anomalies that spoil the recursive structure of the holomorphic anomaly equation and introduce dependence on wrong moduli (such as complex structure moduli in the A-model), unless the disk one-point functions vanish. This provides a microscopic explanation for the recent result of Walcher in arXiv:0712.2775 on counting of BPS states in M-theory using the topological string partition function. The relevance of vanishing disk one-point functions to large $N$ duality for compact Calabi-Yau manifolds is noted.

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Paul L. H. Cook, Hirosi Ooguri, Jie Yang. 2008-04-07. New Anomalies in Topological String Theory. https://doi.org/10.1143/ptps.177.120

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