Torus Knot and Minimal Model

Kazuhiro Hikami, Anatol N. Kirillov

Published 2003-08-22Version 1

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.