INTERTWINING-OPERATORS FOR THE CENTRAL EXTENSION OF THE YANGIAN DOUBLE

Citation
S. Khoroshkin et al., INTERTWINING-OPERATORS FOR THE CENTRAL EXTENSION OF THE YANGIAN DOUBLE, Physics letters. A, 222(6), 1996, pp. 381-392
Citations number
19
Categorie Soggetti
Physics
Journal title
ISSN journal
03759601
Volume
222
Issue
6
Year of publication
1996
Pages
381 - 392
Database
ISI
SICI code
0375-9601(1996)222:6<381:IFTCEO>2.0.ZU;2-1
Abstract
We continue the investigation of the central extended Yangian double [ S. Khoroshkin, Central extension of the Yangian double, in: Collection SMF, Colloque ''Septiemes Rencontres du Contact Franco-Belge en Algeb re'', June 1995, Reims; preprint q-alg/9602031]. In this paper we stud y the intertwining operators for certain infinite dimensional represen tations of <(DY(sl(2)))over cap>, which are deformed analogs of the hi ghest weight representations of the affine algebra <(sl(2))over cap> a t level 1. We give bosonized expressions for intertwining operators, a nd verify that they generate an algebra isomorphic to the Zamolodchiko v-Faddeev algebra for the SU(2)-invariant Thirring model. We compose f rom them L-operators by Miki's prescription and verify that they coinc ide with L-operators constructed from the universal R-matrix.