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 Nth root of unity, coincides with the Eichler integral of the character.
|Number of pages||6|
|Journal||Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics|
|Publication status||Published - Nov 27 2003|
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics