Chirality of Knots $9_{42}$ and $10_{71}$ and Chern-Simons Theory

Details Chirality of Knots $9_{42}$ and $10_{71}$ and Chern-Simons Theory Chirality of Knots $9_{42}$ and $10_{71}$ and Chern-Simons Theory

1994-01-20

arxiv.org/abs/hep-th/9401095v1

Mod.Phys.Lett. A9 (1994) 3205-3218

Physics

High Energy Physics

High Energy Physics - Theory

15 pages + 7 diagrams (available on request)

Scientific paper

10.1142/S0217732394003026

Upto ten crossing number, there are two knots, $9_{42}$ and $10_{71}$ whose chirality is not detected by any of the known polynomials, namely, Jones invariants and their two variable generalisations, HOMFLY and Kauffman invariants. We show that the generalised knot invariants, obtained through $SU(2)$ Chern-Simons topological field theory, which give the known polynomials as special cases, are indeed sensitive to the chirality of these knots.

Affiliated with

Also associated with

No associations

Rating

Chirality of Knots $9_{42}$ and $10_{71}$ and Chern-Simons Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Chirality of Knots $9_{42}$ and $10_{71}$ and Chern-Simons Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chirality of Knots $9_{42}$ and $10_{71}$ and Chern-Simons Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-44868