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Published September 2004 | Published
Journal Article Open

Gauge theory, topological strings, and S-duality

Abstract

We offer a derivation of the duality between the topological U(1) gauge theory on a Calabi-Yau 3-fold and the topological A-model on the same manifold. This duality was conjectured recently by Iqbal, Nekrasov, Okounkov, and Vafa. We deduce it from the S-duality of the IIB superstring. We also argue that the mirror version of this duality relates the topological B-model on a Calabi-Yau 3-fold and a topological sector of the Type IIA Little String Theory on the same manifold.

Additional Information

© Institute of Physics and IOP Publishing Limited 2004. Received 4 August 2004, accepted for publication 16 September 2004. Published 1 October 2004. I am grateful to Andrei Mikhailov and Hiroshi Ooguri for discussions. I also would like to thank Jaume Gomis for pointing out an inaccuracy in the first version of the paper. This work was supported in part by the DOE grant DE-FG03-92-ER40701.

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August 22, 2023
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October 13, 2023