Vertex operators for twisted quantum affine algebras

Jing, Naihuan; Misra, Kailash

doi:10.1090/S0002-9947-99-02098-X

Vertex operators for twisted quantum affine algebras
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by Naihuan Jing and Kailash C. Misra PDF

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

Abstract:

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 $A_{2n-1}^{(2)}$ ($n\geq 3$), $i=0$ for $D_4^{(3)}$, $i=0, n$ for $D_{n+1}^{(2)}$ ($n\geq 2$), and $i=n$ for $A_{2n}^{(2)}$ ($n\geq 1$). A perfect crystal graph for $D_4^{(3)}$ is constructed as a by-product.

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