Gauge theory, topological strings, and S-duality | Zendy

Anton Kapustin | Zendy

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Gauge theory, topological strings, and S-duality

Author(s) -

Anton Kapustin

Publication year - 2004

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2004/09/034

Subject(s) - superstring theory , topological string theory , duality (order theory) , s duality , physics , manifold (fluid mechanics) , string theory , topological algebra , seiberg duality , topology (electrical circuits) , string duality , t duality , symmetry protected topological order , gauge theory , mathematics , topological quantum number , theoretical physics , pure mathematics , mathematical physics , supersymmetric gauge theory , supersymmetry , relationship between string theory and quantum field theory , topological order , combinatorics , gauge anomaly , quantum mechanics , engineering , quantum , mechanical engineering , quantum gravity

We offer a derivation of the duality between the topological U(1) gaugetheory 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 themirror version of this duality relates the topological B-model on a Calabi-Yau3-fold and a topological sector of the Type IIA Little String Theory on thesame manifold.Comment: 9 pages, latex. v2: a footnote has been added. The footnote corrects an inaccuracy in the original argument; the results are unchanged. v3: exposition improve

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