Fivebranes and Knots

@article{Witten2011FivebranesAK,
  title={Fivebranes and Knots},
  author={Edward Witten},
  journal={arXiv: High Energy Physics - Theory},
  year={2011}
}
  • E. Witten
  • Published 17 January 2011
  • Mathematics, Physics
  • arXiv: High Energy Physics - Theory
We develop an approach to Khovanov homology of knots via gauge theory (previous physics-based approches involved other descriptions of the relevant spaces of BPS states). The starting point is a system of D3-branes ending on an NS5-brane with a nonzero theta-angle. On the one hand, this system can be related to a Chern-Simons gauge theory on the boundary of the D3-brane worldvolume; on the other hand, it can be studied by standard techniques of $S$-duality and $T$-duality. Combining the two… Expand
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  • E. Witten
  • Mathematics, Physics
  • Proceedings of Symposia in Pure Mathematics
  • 2018
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