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minimal_models [2021/09/17 20:40] Brian McPeak [Example: Critical Ising Model] |
minimal_models [2021/09/17 21:26] (current) Brian McPeak [Example: Critical Ising Model] |
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| This will be a primary if $L_1 | \chi_{2,1} \rangle = 0$ and if $L_2 | \chi_{2,1} \rangle = 0$. Using the $c = 1/2$ Virasoro algebra, and solving these constraints, | This will be a primary if $L_1 | \chi_{2,1} \rangle = 0$ and if $L_2 | \chi_{2,1} \rangle = 0$. Using the $c = 1/2$ Virasoro algebra, and solving these constraints, | ||
| - | $$ L_{2,1} = -\frac{4}{3} L_{-1}^2 + L_{-2} ) \, .$$ | + | $$ L_{2,1} = -\frac{4}{3} L_{-1}^2 + L_{-2} |
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| + | Therefore the degenerate field $\sigma$ must satisfy | ||
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| + | $$ L_{2,1} \sigma(z) = 0 \, .$$ | ||
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| + | This equation will allow us to compute the four-point function | ||
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| + | (To Be Finished Later) | ||
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| ====More Examples==== | ====More Examples==== | ||