CFT Zoo

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minimal_models [2021/09/17 20:55]
Brian McPeak [Example: Critical Ising Model] 		minimal_models [2026/03/19 00:31] (current)
Ludo Fraser-Taliente [Related Theories] W_N MM CFTs
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 ==== Example: Critical Ising Model==== ==== Example: Critical Ising Model====
  
-Consider $c = 1 / 2$, which implies $p = 3, \, q = 4$. The Kac table of doubly degenerate representations is given by+Consider $c = 1 / 2$, which implies $p = 4, \, q = 3$. The Kac table of doubly degenerate representations is given by
  
 $$ \begin{array}{c}\begin{array}{c|ccc}  & r = 1 & r = 2 & r = 3  \\ \hline  s =  1 & \Delta =  0 & \Delta = \frac{1}{16} & \Delta = \frac{1}{2}  \\ s = 2 & \Delta =  \frac{1}{2} & \Delta =  \frac{1}{16} & \Delta =  0 \end{array} \end{array} $$ $$ \begin{array}{c}\begin{array}{c|ccc}  & r = 1 & r = 2 & r = 3  \\ \hline  s =  1 & \Delta =  0 & \Delta = \frac{1}{16} & \Delta = \frac{1}{2}  \\ s = 2 & \Delta =  \frac{1}{2} & \Delta =  \frac{1}{16} & \Delta =  0 \end{array} \end{array} $$
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 This equation will allow us to compute the four-point function This equation will allow us to compute the four-point function
  
-$$\langle \sigma(0) \sigma(z,  \bar z) \sigma(1) \sigma(\infty) \rangle = +(To Be Finished Later) 
 + 
 ====More Examples==== ====More Examples====
  
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   * [[Generalized Minimal Models]]   * [[Generalized Minimal Models]]
-  * [[Runkel-Watts theory]] +  * [[Runkel-Watts theory]] is the limit $m\to \infty$ of the $A_m$-series. 
 +  * [[http://arxiv.org/abs/1207.6697 | $\mathcal{W}_N$ minimal model CFTs]]
 ====Sources==== ====Sources====
  
Last modified: 2021/09/17 20:55
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