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Topological field theory and rational curves
Open accessAbstract
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 agreement with a conjecture by Candelas, de la Ossa, Green and Parkes.
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Cited by
Geometry of 2D topological field theories
Dubrovin, B. (1996) · Lecture Notes in Mathematics · doi:10.1007/bfb0094793 · Cited by 1,117
Lectures on 2D yang-mills theory, equivariant cohomology and topological field theories
Cordes, S., Moore, G., & Ramgoolam, S. (1995) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/0920-5632(95)00434-b · Cited by 248
Metadata
- Authors
- Aspinwall, P. S., & Morrison, D. R.
- Venue
- Communications in Mathematical Physics
- Published
- 1993-01
- Volume
- 151
- Issue
- 2
- Pages
- 245-262
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2167274574
- Cited by
- 227
- References
- 0
- FWCI
- 40.42
- Type
- journal article
- Language
- en
- Open access
- green
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Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
