On the boundary of Q-systems : introduction to the KNS conjecture
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- Séminaire d'Algèbre, IHP, 3/12/2012
example : level $k=8$ restricted Q-system of type $D_5$
$$ \begin{bmatrix}
1.000 & 1.000 & 1.000 & 1.000 & 1.000 \\ 6.027 & 19.16 & 42.36 & 8.524 & 8.524 \\ 17.16 & 112.0 & 401.6 & 30.30 & 30.30 \\ 30.30 & 294.6 & 1380. & 60.60 & 60.60 \\ 36.33 & 401.6 & 2050. & 75.65 & 75.65 \\ 30.30 & 294.6 & 1380. & 60.60 & 60.60 \\ 17.16 & 112.0 & 401.6 & 30.30 & 30.30 \\ 6.027 & 19.16 & 42.36 & 8.524 & 8.524 \\ 1.000 & 1.000 & 1.000 & 1.000 & 1.000 \\ 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0
\end{bmatrix} $$
- introduction to the KNS conjecture about quantum dimension solution of Q-systems
- contains explicit examples of level $k$ restricted Q-systems
- File:IntroKNS.pdf