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
SN - 0370-2693
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
IS - 3-4
ER -