Gauge theory, topological strings, and S-duality
High Energy Physics - Theory
2008-11-26 v3
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.
Cite
@article{arxiv.hep-th/0404041,
title = {Gauge theory, topological strings, and S-duality},
author = {Anton Kapustin},
journal= {arXiv preprint arXiv:hep-th/0404041},
year = {2008}
}
Comments
9 pages, latex. v2: a footnote has been added. The footnote corrects an inaccuracy in the original argument; the results are unchanged. v3: exposition improved