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

@inproceedings{Eguchi2004GeometricT,
title={Geometric transitions , Chern-Simons gauge theory and Veneziano type amplitudes},
author={Tohru Eguchi and Hiroaki Kanno},
year={2004}
}

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