Intertwining Operators for the Central Extension of the Yangian Double

Details Intertwining Operators for the Central Extension of the Yangian Double Intertwining Operators for the Central Extension of the Yangian Double

1996-02-21

arxiv.org/abs/q-alg/9602030v3

Physics

High Energy Physics

High Energy Physics - Theory

Standard LaTeX using AMS fonts, all macros included. The statements of the Section 7 are revised and references added

Scientific paper

10.1016/S0375-9601(96)00711-6

We continue the investigation of the central extended Yangian double [S. Khoroshkin, q-alg/9602031]. In this paper we study the intertwining operators for certain infinite dimensional representations of $\Yd$, which are deformed analogs of the highest weight representations of the affine algebra $\aff$ at level 1. We give bosonized expressions for intertwining operators, verify that they generate an algebra isomorphic to Zamolodchikov--Faddeev algebra for the $SU(2)$-invariant Thirring model. We compose from them $L$-operators by Miki's prescription and verify that they coincide with $L$-operators constructed from universal ${\cal R}$-matrix.

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