TY - JOUR

T1 - Torus knot and minimal model

AU - Hikami, Kazuhiro

AU - Kirillov, Anatol N.

N1 - Funding Information:
The authors would like to thank to H. Murakami for useful comments on early version of manuscript. The work of K.H. is supported in part by the Sumitomo Foundation, and Grant-in-Aid for Young Scientists from the Ministry of Education, Culture, Sports, Science and Technology of Japan.

PY - 2003/11/27

Y1 - 2003/11/27

N2 - 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.

AB - 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.

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U2 - 10.1016/j.physletb.2003.09.007

DO - 10.1016/j.physletb.2003.09.007

M3 - Article

AN - SCOPUS:17144439538

VL - 575

SP - 343

EP - 348

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3-4

ER -