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S-duality and Topological Strings

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arxiv hep-th/0403167 v1 pith:QXD3HE6I submitted 2004-03-16 hep-th

S-duality and Topological Strings

classification hep-th
keywords a-models-dualitystringstopologicalamplitudesb-modelcalabi-yaud-instantons
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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