Vertex operators for twisted quantum affine algebras

Details Vertex operators for twisted quantum affine algebras Vertex operators for twisted quantum affine algebras

1997-01-28

arxiv.org/abs/q-alg/9701034v1

Trans. Amer. Math. Soc. 351 (1999), 1663-1690.

Mathematics

Quantum Algebra

LaTex file, 30 pages

Scientific paper

We construct explicitly the $q$-vertex operators (intertwining operators) for the level one modules $V(\Lambda_i)$ of the classical quantum affine algebras of twisted types using interacting bosons, where $i=0, 1$ for $A_{2n-1}^{(2)}$, $i=0$ for $D_4^{(3)}$, $i=0, n$ for $D_{n+1}^{(2)}$, and $i=n$ for $A_{2n}^{(2)}$. A perfect crystal graph for $D_4^{(3)}$ is constructed as a by-product.

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