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Mathematics  1997 

Bosonic Realizations of $U_q(C^{(1)}_n)$

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Abstract:

We construct explicitly the quantum symplectic affine algebra $U_q(\widehat{sp}_{2n})$ using bosonic fields. The Fock space decomposes into irreducible modules of level -1/2, quantizing the Feingold-Frenkel construction for q=1.

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