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Gauge theory, topological strings, and S-duality

Anton Kapustin
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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.

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Anton Kapustin. 2004-07-24. Gauge theory, topological strings, and S-duality. https://doi.org/10.1088/1126-6708%2F2004%2F09%2F034

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