Bosonic realizations of \(U_q(C_n^{(1)})\) (Q1383950)

The authors construct the quantum affine algebra \(U_q(\widehat{sp}_{2n})\) explicitly using bosonic fields. They also show that the Fock spaces decompose into irreducible modules of level \(-1/2\). There are exactly four of them and they can be viewed as \(q\)-analogue of the admissible representations considered by \textit{A. J. Feingold} and \textit{I. B. Frenkel} in [Adv. Math. 56, 117-172 (1985; Zbl 0601.17012)]. The paper is detailed and contains a lot of calculations.