The DOI matches its Crossref record; 28 of the 28 references it cites were found in a registry or an index.
The Topological Vertex
Open accessAbstract
We construct a cubic field theory which provides all genus amplitudes of the topological A-model for all non-compact toric Calabi-Yau threefolds. The topology of a given Feynman diagram encodes the topology of a fixed Calabi-Yau, with Schwinger parameters playing the role of Kähler classes of the threefold. We interpret this result as an operatorial computation of the amplitudes in the B-model mirror which is the quantum Kodaira-Spencer theory. The only degree of freedom of this theory is an unconventional chiral scalar on a Riemann surface. In this setup we identify the B-branes on the mirror Riemann surface as fermions related to the chiral boson by bosonization.
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Cites
Quantum field theory and the Jones polynomial
Witten, E. (1989) · Communications in Mathematical Physics · doi:10.1007/bf01217730 · Cited by 4,758
Seiberg-Witten Prepotential from Instanton Counting
Nekrasov, N. A. (2003) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.2003.v7.n5.a4 · Cited by 1,846
Phases of N = 2 theories in two dimensions
Witten, E. (1993) · Nuclear Physics B · doi:10.1016/0550-3213(93)90033-l · Cited by 1,732
Harvey, R., & Lawson, H. B. (1982) · Acta Mathematica · doi:10.1007/bf02392726 · Cited by 1,586
Fusion rules and modular transformations in 2D conformal field theory
Verlinde, E. (1988) · Nuclear Physics B · doi:10.1016/0550-3213(88)90603-7 · Cited by 1,537
Fundamental design issues for the future Internet
Shenker, S. (1995) · IEEE Journal on Selected Areas in Communications · doi:10.1109/49.414637 · Cited by 1,097
Witten, E. (1988) · Communications in Mathematical Physics · doi:10.1007/bf01466725 · Cited by 1,082
Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
Bershadsky, M., Cecotti, S., Ooguri, H., & Vafa, C. (1994) · Communications in Mathematical Physics · doi:10.1007/bf02099774 · Cited by 919
Self-citationOn the structure of the topological phase of two-dimensional gravity
Witten, E. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90449-n · Cited by 889
On the gauge theory/geometry correspondence
Gopakumar, R., & Vafa, C. (1999) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1999.v3.n5.a5 · Cited by 796
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A universe field theory for JT gravity
Post, B., van der Heijden, J., & Verlinde, E. (2022) · Journal of High Energy Physics · doi:10.1007/jhep05(2022)118 · Cited by 32
Altland, A., Post, B., Sonner, J., van der Heijden, J., & Verlinde, E. P. (2023) · SciPost Physics · doi:10.21468/scipostphys.15.2.064 · Cited by 2
Metadata
- Authors
- Aganagic, M., Klemm, A., Mari�o, M., & Vafa, C.
- Venue
- Communications in Mathematical Physics
- Published
- 2004-09-24
- Volume
- 254
- Issue
- 2
- Pages
- 425-478
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2102420090
- Cited by
- 522
- References
- 28
- FWCI
- 10.87
- Type
- journal article
- Language
- en
- Open access
- green
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