dorsal/arxiv
View SchemaDrinfel'd Twists and Algebraic Bethe Ansatz
| Authors | J. M. Maillet, J. Sanchez de Santos |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9612012 |
| URL | https://arxiv.org/abs/q-alg/9612012 |
| Journal | Translations of the American Mathematical Society-Series 2, vol 201, 137-178 (2000) |
Abstract
We study representation theory of Drinfel'd twists, in terms of what we call F matrices, associated to finite dimensional irreducible modules of quantum affine algebras, and which factorize the corresponding (unitary) R matrices. We construct explicitly such factorizing F matrices for irreducible tensor products of the fundamental representations of the quantum affine algebra sl2 and its associated Yangian. We then apply these constructions to the XXX and XXZ quantum spins chains of finite length in the framework of the Algebraic Bethe Ansatz.
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"abstract": "We study representation theory of Drinfel\u0027d twists, in terms of what we call\nF matrices, associated to finite dimensional irreducible modules of quantum\naffine algebras, and which factorize the corresponding (unitary) R matrices. We\nconstruct explicitly such factorizing F matrices for irreducible tensor\nproducts of the fundamental representations of the quantum affine algebra sl2\nand its associated Yangian. We then apply these constructions to the XXX and\nXXZ quantum spins chains of finite length in the framework of the Algebraic\nBethe Ansatz.",
"arxiv_id": "q-alg/9612012",
"authors": [
"J. M. Maillet",
"J. Sanchez de Santos"
],
"categories": [
"q-alg",
"cond-mat.stat-mech",
"hep-th",
"math-ph",
"math.MP",
"math.QA"
],
"journal_ref": "Translations of the American Mathematical Society-Series 2, vol\n 201, 137-178 (2000)",
"title": "Drinfel\u0027d Twists and Algebraic Bethe Ansatz",
"url": "https://arxiv.org/abs/q-alg/9612012"
},
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