Worldsheet Derivation of a Large N Duality

  title={Worldsheet Derivation of a Large N Duality},
  author={Hirosi Ooguri and Cumrun Vafa},
We give a worldsheet proof of the equivalence between the U(N) Chern-Simons gauge theory on S and the topological closed string theory on the resolved conifold geometry. When the ‘t Hooft coupling of the gauge theory is small, the dual closed string worldsheet develops a new branch. We show that the fluctuations of the worldsheet into this branch effectively correspond to “holes” on the worldsheet, generating an open string sector. This leads to a microscopic description of how the ‘t Hooft… CONTINUE READING
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