Published 2009 | Version Published + Submitted
Journal Article Open

New Anomalies in Topological String Theory

  • 1. ROR icon California Institute of Technology
  • 2. ROR icon Kavli Institute for the Physics and Mathematics of the Universe

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.

Additional Information

© 2008 Progress of Theoretical Physics. We thank M. Aganagic, E. Getzler, T. Graber, K. Hori, C. Vafa, K. Vyas and J. Walcher for useful discussions. H.O. thanks T. Eguchi for introducing him to the beautiful area of mathematical physics and for many enjoyable collaborations. This research is supported in part by DOE grant DE-FG03-92-ER40701. H.O. is also supported in part by the Kavli Foundation and by the World Premier International Research Center Initiative of MEXT of Japan.

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Published - Cook2009p2041Prog_Theor_Phys_Supp.pdf

Submitted - 0804.1120.pdf

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Additional details

Identifiers

Eprint ID
15169
Resolver ID
CaltechAUTHORS:20090819-111703735

Related works

Funding

Department of Energy (DOE)
DE-FG03-92-ER40701
Kavli Foundation
Ministry of Education, Culture, Sports, Science and Technology (MEXT)

Dates

Created
2009-08-20
Created from EPrint's datestamp field
Updated
2021-11-08
Created from EPrint's last_modified field

Caltech Custom Metadata

Caltech groups
Mathematics Department
Series Name
Progress of Theoretical Physics Supplement
Series Volume or Issue Number
177
Other Numbering System Name
CALT
Other Numbering System Identifier
68-2672