Topological Field Theory and Rational Curves

Details Topological Field Theory and Rational Curves Topological Field Theory and Rational Curves

1991-10-17

arxiv.org/abs/hep-th/9110048v1

Commun.Math.Phys. 151 (1993) 245-262

Physics

High Energy Physics

High Energy Physics - Theory

20 pages

Scientific paper

We analyze the superstring propagating on a Calabi-Yau threefold. This theory naturally leads to the consideration of Witten's topological non-linear sigma-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 agreement with a conjecture by Candelas, de la Ossa, Green and Parkes.

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