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Chern-Simons theory on spherical Seifert manifolds, topological strings and integrable systems

Chern-Simons theory on spherical Seifert manifolds, topological strings and integrable systems

We consider the Gopakumar-Ooguri-Vafa correspondence, relating U(N ) Chern-Simons theory at large N to topological strings, in the context of spherical Seifert 3-manifolds.These are quotients S Γ = Γ\S 3 of the three-sphere by the free action of a finite isometry group.Guided by string theory dualities, we propose a large …