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What are the four primary fields for SU(2) level 3 WZW field

What are the four primary fields for SU(2) level 3 for spin $\frac{3}{2}$ WZW field in terms of operators from Potts model and chiral bosons?
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1answer
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Emergence of $SU(2)\times SU(2)$ at the self-dual point in bosonic string theory

I want to understand the derivation of the equations 8.3.11 in Polchinski Vol 1. I can understand that at the self-dual point the Kaluza-Klein momentum index $n$, the winding number $w$, and the ...
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1answer
130 views

Current operators for compactified CFTs

Intuitively I feel that if you compactified open bosonic strings on a product of $n$ circles such that each radius is fine-tuned to the self-dual point then the CFT of these $n$ world-sheet fields ...