Chern-Simons Theory and Topological Strings

Abstract

We review the relation between Chern-Simons gauge theory and topological string theory on noncompact Calabi-Yau spaces. This relation has made possible to give an exact solution of topological string theory on these spaces to all orders in the string coupling constant. We focus on the construction of this solution, which is encoded in the topological vertex, and we emphasize the implications of the physics of string/gauge theory duality for knot theory and for the geometry of Calabi-Yau manifolds.

46 pages, RMP style, 25 figures, minor corrections, references added

References in corpus (4)

• Localizations on Moduli Spaces and Free Field Realizations of Feynman Rules
• D-branes as Defects in the Calabi-Yau Crystal
• Topological Strings, Instantons and Asymptotic Forms of Gopakumar-Vafa Invariants
• Mariño-Vafa Formula and Hodge Integral Identities

Cited by in corpus (124)

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