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Intertwining Operators for the Central Extension of the Yangian Double

S. Khoroshkin·D. Lebedev·S. Pakuliak
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Abstract

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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BibTeXRIS

S. Khoroshkin, D. Lebedev, S. Pakuliak. 1996-07-30. Intertwining Operators for the Central Extension of the Yangian Double. https://doi.org/10.1016/s0375-9601(96)00711-6

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