Cappelli-Itzykson-Zuber A-D-E Classification

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Author: Dr. Andrea Cappelli, Istituto Nazionale Fisica Nucleare, Via G. Sansone, 1, I-50019 Sesto F.no (FI), Italy
Author: Dr. Jean-Bernard Zuber, LPTHE, Université Pierre et Marie Curie,FRANCE

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Cappelli-Itzykson-Zuber A-D-E Classification refers to the classification of modular invariant partition functions of two-dimensional conformal field theories related to the $sl(2)$ affine algebra.

In equation (1)

(1)

$\mathcal{H}=...$

where $\mathcal{H}$ is the Hilbert space of all ...

Moreover equation (2)

$x^2$	(2) $\text{[math]}$
$\frac{\mathrm{d}}{\mathrm{d}t}\left(x^{y^{z^t}}\right)$	(3) $\text{[math]}$

In figure 1 we can see....

As shown by Albero and Bocca (2001)...

Table 1: list of modular...
$k\ge 0$	$\sum_{\lambda=1}^{k+1}\|\chi_\lambda\|^2$	$(A_{k+1})$
$k=4\rho\ge 4$	$\sum_{\lambda=1}^{k+1}\|\chi_\lambda\|^2$	$(A_{k+1})$
$k=4\rho-2\ge 6$	$\sum_{\lambda=1}^{k+1}\|\chi_\lambda\|^2$	$(A_{k+1})$
$k= 10$	$\sum_{\lambda=1}^{k+1}\|\chi_\lambda\|^2$	$(A_{k+1})$
$k= 16$	$\sum_{\lambda=1}^{k+1}\|\chi_\lambda\|^2$	$(A_{k+1})$
$k=28$	$\sum_{\lambda=1}^{k+1}\|\chi_\lambda\|^2$	$(A_{k+1})$