Intertwining Operators for the Central Extension of the Yangian Double

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 $\mathcal{R}$-matrix.

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References in corpus (2)

• Diagonalization of the XXZ Hamiltonian by Vertex Operators
• Free Field Representation For Massive Integrable Models

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