Geometric transitions , Chern-Simons gauge theory and Veneziano type amplitudes

  title={Geometric transitions , Chern-Simons gauge theory and Veneziano type amplitudes},
  author={Tohru Eguchi and Hiroaki Kanno},
We consider the geometric transition and compute the all-genus topological string amplitudes expressed in terms of Hopf link invariants and topological vertices of Chern-Simons gauge theory. We introduce an operator technique of 2dimensional CFT which greatly simplifies the computations. We in particular show that in the case of local Calabi-Yau manifolds described by toric geometry basic amplitudes are written as vacuum expectation values of a product vertex operators and thus appear quite… CONTINUE READING
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