Published June 26, 2000
| Submitted
Journal Article
Open
Knot Invariants and Topological Strings
- Creators
- Ooguri, Hirosi
- Vafa, Cumrun
Abstract
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 S³ (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.
Additional Information
© 2000 Elsevier Science B.V. We are grateful to N. Berkovits, R. Gopakumar, K. Hori, S. Sinha, C. Taubes and T. Taylor for valuable discussions. H.O. would like to thank the theory group of Harvard University, where this work was initiated and completed. The research of H.O. was supported in part by NSF grant PHY-95-14797, DOE grant DE-AC03-76SF00098, and the Caltech Discovery Fund. The research of C.V. is supported by NSF Grant No. PHY-9218167.Attached Files
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Additional details
- Eprint ID
- 72925
- DOI
- 10.1016/S0550-3213(00)00118-8
- Resolver ID
- CaltechAUTHORS:20161219-085922769
- PHY-95-14797
- NSF
- DE-AC03-76SF00098
- Department of Energy (DOE)
- Caltech Discovery Fund
- PHY-9218167
- NSF
- Created
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2016-12-19Created from EPrint's datestamp field
- Updated
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2021-11-11Created from EPrint's last_modified field