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A construction of level 1 irreducible modules for $U_q(\hat{sp}_4)$ using level 2 intertwiners for $U_q(\hat{sl}_2)$

Boris Feigin·Jin Hong·Tetsuji Miwa
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Abstract

We bosonize certain components of level $\ell$ $U_q(\hat{sl}_2)$-intertwiners of $(\ell + 1)$-dimensions. For $\ell = 2$, these intertwiners, after certain modification by bosonic vertex operators, are added to the algebra $U_q(\hat{sl}_2)$ at level 2 to construct all irreducible highest weight representations of level 1 for the quantum affine algebra $U_q(\hat{sp}_4)$.

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Boris Feigin, Jin Hong, Tetsuji Miwa. 2002-01-15. A construction of level 1 irreducible modules for $U_q(\hat{sp}_4)$ using level 2 intertwiners for $U_q(\hat{sl}_2)$. https://arxiv.org/abs/math/0201124

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