The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Knot invariants and topological strings
Open accessAbstract
We find further evidence for the conjecture relating large N Chern-Simons theory on S^3 with topological string on the resolved conifold geometry by showing that the Wilson loop observable of a simple knot on S^3 (for any representation) agrees to all orders in N with the corresponding quantity on the topological string side. For a general knot, we find a reformulation of the knot invariant in terms of new integral invariants, which capture the spectrum (and spin) of M2 branes ending on M5 branes embedded in the resolved conifold geometry. We also find an intriguing link between knot invariants and superpotential terms generated by worldsheet instantons in N=1 supersymmetric theories in 4 dimensions.
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Cites
Quantum field theory and the Jones polynomial
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Self-citationStrominger, A., Yau, S.-T., & Zaslow, E. (1996) · Nuclear Physics B · doi:10.1016/0550-3213(96)00434-8 · Cited by 917
Holomorphic anomalies in topological field theories
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Self-citationTopological amplitudes in string theory
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Self-citationTwists and Wilson loops in the string theory of two-dimensional QCD
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N = 2 type II-heterotic duality and higher-derivative F-terms
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Cited by
Four-dimensional string compactifications with D-branes, orientifolds and fluxes
Blumenhagen, R., Körs, B., Lüst, D., & Stieberger, S. (2007) · Physics Reports · doi:10.1016/j.physrep.2007.04.003 · Cited by 890
Aganagic, M., Klemm, A., Mari�o, M., & Vafa, C. (2005) · Communications in Mathematical Physics · doi:10.1007/s00220-004-1162-z · Cited by 522
Self-citationSuperstrings and topological strings at large N
Vafa, C. (2001) · Journal of Mathematical Physics · doi:10.1063/1.1376161 · Cited by 498
Self-citationBaby Universes, Holography, and the Swampland
McNamara, J., & Vafa, C. (2020) · arXiv · doi:10.48550/arxiv.2004.06738 · Cited by 118
Self-citationAltland, 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
- Ooguri, H., & Vafa, C.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 2000-06
- Volume
- 577
- Issue
- 3
- Pages
- 419-438
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W1980461724
- Cited by
- 434
- References
- 10
- FWCI
- 7.74
- 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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