Cook, Paul L. H. and Ooguri, Hirosi and Yang, Jie (2009) New Anomalies in Topological String Theory. Progress of Theoretical Physics Supplement, 2009 (177). pp. 120-127. ISSN 0375-9687 http://resolver.caltech.edu/CaltechAUTHORS:20090819-111703735
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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.|
|Subject Keywords:||string theory|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||20 Aug 2009 21:10|
|Last Modified:||26 Dec 2012 11:13|
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