New Anomalies in Topological String Theory

Details New Anomalies in Topological String Theory New Anomalies in Topological String Theory

2008-04-07

arxiv.org/abs/0804.1120v1

Prog.Theor.Phys.Suppl.177:120-127,2009

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 3 figures

Scientific paper

10.1143/PTPS.177.120

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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