Torus Knot and Minimal Model

Details Torus Knot and Minimal Model Torus Knot and Minimal Model

2003-08-22

arxiv.org/abs/hep-th/0308152v1

Phys.Lett. B575 (2003) 343-348

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1016/j.physletb.2003.09.007

We reveal an intimate connection between the quantum knot invariant for torus
knot T(s,t) and the character of the minimal model M(s,t), where s and t are
relatively prime integers. We show that Kashaev's invariant, i.e., the
N-colored Jones polynomial at the N-th root of unity, coincides with the
Eichler integral of the character.

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