Vertex operators for twisted quantum affine algebras

Author:

Jing Naihuan,Misra Kailash

Abstract

We construct explicitly the q q -vertex operators (intertwining operators) for the level one modules V ( Λ i ) V(\Lambda _i) of the classical quantum affine algebras of twisted types using interacting bosons, where i = 0 , 1 i=0, 1 for A 2 n 1 ( 2 ) A_{2n-1}^{(2)} ( n 3 n\geq 3 ), i = 0 i=0 for D 4 ( 3 ) D_4^{(3)} , i = 0 , n i=0, n for D n + 1 ( 2 ) D_{n+1}^{(2)} ( n 2 n\geq 2 ), and i = n i=n for A 2 n ( 2 ) A_{2n}^{(2)} ( n 1 n\geq 1 ). A perfect crystal graph for D 4 ( 3 ) D_4^{(3)} is constructed as a by-product.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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