The DOI matches its Crossref record; 54 of the 54 references it cites were found in a registry or an index.
Topological Strings and Integrable Hierarchies
Open accessAbstract
We consider the topological B-model on local Calabi-Yau geometries. We show how one can solve for the amplitudes by using -algebra symmetries which encode the symmetries of holomorphic diffeomorphisms of the Calabi-Yau. In the highly effective fermionic/brane formulation this leads to a free fermion description of the amplitudes. Furthermore we argue that topological strings on Calabi-Yau geometries provide a unifying picture connecting non-critical (super)strings, integrable hierarchies, and various matrix models. In particular we show how the ordinary matrix model, the double scaling limit of matrix models, and Kontsevich-like matrix model are all related and arise from studying branes in specific local Calabi-Yau three-folds. We also show how an A-model topological string on P1 and local toric threefolds (and in particular the topological vertex) can be realized and solved as B-model topological string amplitudes on a Calabi-Yau manifold.
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Cites
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Self-citationKodaira-Spencer Theory of Gravity and Exact Results for Quantum String AmplitudesPreprint
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Self-citationSeiberg-Witten Theory and Random Partitions
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Self-citationOn the gauge theory/geometry correspondence
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Eynard, B., & Orantin, N. (2007) · Communications in Number Theory and Physics · doi:10.4310/cntp.2007.v1.n2.a4 · Cited by 744
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Saad, P., Shenker, S. H., & Stanford, D. (2019) · arXiv · doi:10.48550/arxiv.1903.11115 · Cited by 442
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Self-citationBaby Universes, Holography, and the Swampland
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Metadata
- Authors
- Aganagic, M., Dijkgraaf, R., Klemm, A., Mariño, M., & Vafa, C.
- Venue
- Communications in Mathematical Physics
- Published
- 2005-10-19
- Volume
- 261
- Issue
- 2
- Pages
- 451-516
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2167790234
- Cited by
- 481
- References
- 54
- FWCI
- 22.11
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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