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Published October 2004 | Submitted + Published
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S-duality and topological strings

Nekrasov, Nikita
Ooguri, Hirosi ORCID icon
Vafa, Cumrun
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Abstract

In this paper we show how S-duality of type-IIB superstrings leads to an S-duality relating A- and B-model topological strings on the same Calabi-Yau as had been conjectured recently: D-instantons of the B-model correspond to A-model perturbative amplitudes and D-instantons of the A-model capture perturbative B-model amplitudes. Moreover this confirms the existence of new branes in the two models. As an application we explain the recent results concerning A-model topological strings on Calabi-Yau and its equivalence to the statistical mechanical model of melting crystal.

Additional Information

© Institute of Physics and IOP Publishing Limited 2004. Received 4 October 2004, accepted for publication 5 October 2004. Published 20 October 2004. We would like to thank M. Aganagic, S. Gukov, A. Kapustin, S. Katz, L. Motl, A. Neitzke, A. Okounkov, A. Strominger and C. Taubes for valuable discussions. In addition NN would like to thank A. Losev for interesting discussions. The research of NN is partly supported by RFFI grant 03-02-17554 and by the grant NX-1999.2003.2 for scientific schools. The research of HO is supported in part by DOE grant DE-FG03-92-ER40701. The research of CV is supported in part by NSF grants PHY-0244821 and DMS-0244464.

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