CaltechAUTHORS
  A Caltech Library Service

Knot Invariants and Topological Strings

Ooguri, Hirosi and Vafa, Cumrun (2000) Knot Invariants and Topological Strings. Nuclear Physics B, 577 (3). pp. 419-438. ISSN 0550-3213. https://resolver.caltech.edu/CaltechAUTHORS:20161219-085922769

[img] PDF - Submitted Version
See Usage Policy.

263Kb

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20161219-085922769

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 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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/S0550-3213(00)00118-8DOIArticle
https://www.sciencedirect.com/science/article/pii/S0550321300001188PublisherArticle
https://arxiv.org/abs/hep-th/9912123arXivDiscussion Paper
ORCID:
AuthorORCID
Ooguri, Hirosi0000-0001-6021-3778
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.
Funders:
Funding AgencyGrant Number
NSFPHY-95-14797
Department of Energy (DOE)DE-AC03-76SF00098
Caltech Discovery FundUNSPECIFIED
NSFPHY-9218167
Issue or Number:3
Record Number:CaltechAUTHORS:20161219-085922769
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20161219-085922769
Official Citation:Hirosi Ooguri, Cumrun Vafa, Knot invariants and topological strings, Nuclear Physics B, Volume 577, Issue 3, 2000, Pages 419-438, ISSN 0550-3213, https://doi.org/10.1016/S0550-3213(00)00118-8. (http://www.sciencedirect.com/science/article/pii/S0550321300001188)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:72925
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:19 Dec 2016 17:27
Last Modified:03 Oct 2019 16:22

Repository Staff Only: item control page