English

New Anomalies in Topological String Theory

High Energy Physics - Theory 2009-09-17 v1

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 NN duality for compact Calabi-Yau manifolds is noted.

Keywords

Cite

@article{arxiv.0804.1120,
  title  = {New Anomalies in Topological String Theory},
  author = {Paul L. H. Cook and Hirosi Ooguri and Jie Yang},
  journal= {arXiv preprint arXiv:0804.1120},
  year   = {2009}
}

Comments

11 pages, 3 figures

R2 v1 2026-06-21T10:28:32.767Z