Bosonic Realizations of $U_q(C_n^{(1)})$

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.

LaTex file, 13 pages

Cited by in corpus (2)

• Principal subspaces for quantum affine algebra $U_q(A_n^{(1)})$
• Quantum Z-algebras and representations of quantum affine algebras