Topological field theory and rational curves

  title={Topological field theory and rational curves},
  author={Paul S. Aspinwall and David R. Morrison},
  journal={Communications in Mathematical Physics},
We analyze the quantum field theory corresponding to a string propagating on a Calabi-Yau threefold. This theory naturally leads to the consideration of Witten's topological non-linear σ-model and the structure of rational curves on the Calabi-Yau manifold. We study in detail the case of the world-sheet of the string being mapped to a multiple cover of an isolated rational curve and we show that a natural compactification of the moduli space of such a multiple cover leads to a formula in… Expand
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