Published October 2005
| Version Submitted
Journal Article
Open
Khovanov-Rozansky Homology and Topological Strings
Creators
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1.
Harvard University
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2.
University of California, Davis
Abstract
We conjecture a relation between the sl(N) knot homology, recently introduced by Khovanov and Rozansky, and the spectrum of BPS states captured by open topological strings. This conjecture leads to new regularities among the sl(N) knot homology groups and suggests that they can be interpreted directly in topological string theory. We use this approach in various examples to predict the sl(N) knot homology groups for all values of N. We verify that our predictions pass some non-trivial checks.
Additional Information
© Springer 2005. Received: 21 March 2005. Dedicated to the memory of F.A. Berezin. We would like to thank D. Bar-Natan, R. Dijkgraaf, M. Gross, K. Intriligator, A. Kapustin, M. Khovanov, A. Klemm, M. Mariño, H. Ooguri, J. Roberts and D. Thurston for useful discussions. S.G. would also like to thank the Caltech Particle Theory Group for kind hospitality. The work of A.S. is supported by NSF grant DMS-0204927. This work was conducted during the period S.G. served as a Clay Mathematics Institute Long-Term Prize Fellow. S.G. is also supported in part by RFBR grant 04-02-16880. The work of C.V. is supported in part by NSF grants PHY-0244821 and DMS-0244464.Attached Files
Submitted - 0412243.pdf
Files
0412243.pdf
Additional details
Identifiers
- Eprint ID
- 66974
- DOI
- 10.1007/s11005-005-0008-8
- Resolver ID
- CaltechAUTHORS:20160511-085302183
Related works
- Describes
- 10.1007/s11005-005-0008-8 (DOI)
- http://arxiv.org/abs/hep-th/0412243 (URL)
Funding
- NSF
- DMS-0204927
- Russian Foundation for Basic Research
- 04-02-16880
- NSF
- PHY-0244821
- NSF
- DMS-0244464
- Clay Mathematics Institute
Dates
- Created
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2016-05-11Created from EPrint's datestamp field
- Updated
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2021-11-11Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department