Topological Gravity as Large N Topological Gauge Theory

  title={Topological Gravity as Large N Topological Gauge Theory},
  author={Rajesh Gopakumar and Cumrun Vafa},
We consider topological closed string theories on Calabi-Yau manifolds which compute superpotential terms in the corresponding compactified type II effective action. In particular, near certain singularities we compare the partition function of this topological theory (the Kodaira-Spencer theory) to SU(∞) Chern-Simons theory on the vanishing 3-cycle. We find agreement between these theories, which we check explicitly for the case of shrinking S and Lens spaces, at the perturbative level… CONTINUE READING
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