dorsal/arxiv
View SchemaIntertwining Operators for the Central Extension of the Yangian Double
| Authors | S. Khoroshkin, D. Lebedev, S. Pakuliak |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9602030 |
| URL | https://arxiv.org/abs/q-alg/9602030 |
| DOI | 10.1016/S0375-9601(96)00711-6 |
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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"abstract": "We continue the investigation of the central extended Yangian double [S.\nKhoroshkin, q-alg/9602031]. In this paper we study the intertwining operators\nfor certain infinite dimensional representations of $\\Yd$, which are deformed\nanalogs of the highest weight representations of the affine algebra $\\aff$ at\nlevel 1. We give bosonized expressions for intertwining operators, verify that\nthey generate an algebra isomorphic to Zamolodchikov--Faddeev algebra for the\n$SU(2)$-invariant Thirring model. We compose from them $L$-operators by Miki\u0027s\nprescription and verify that they coincide with $L$-operators constructed from\nuniversal ${\\cal R}$-matrix.",
"arxiv_id": "q-alg/9602030",
"authors": [
"S. Khoroshkin",
"D. Lebedev",
"S. Pakuliak"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"doi": "10.1016/S0375-9601(96)00711-6",
"title": "Intertwining Operators for the Central Extension of the Yangian Double",
"url": "https://arxiv.org/abs/q-alg/9602030"
},
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