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On integrable quantum group invariant antiferromagnets

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URI: http://hdl.handle.net/10016/7155
ISSN: 0393-0440
DOI: https://www.doi.org/10.1016/0393-0440(93)90071-L
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integrable_cuerno_jgp_1993_ps.pdf (98 KB)
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1993-06
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Elsevier
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Abstract
^aA new open spin chain hamiltonian is introduced. It is both integrable (Sklyanin's type K matrices are used to achieve this) and invariant under Uε(sl(2)) transformations in nilpotent irreps for ε^3 = 1. Some considerations on the centralizer of nilpotent representations and its representation theory are also presented.
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10 pages, 7 figures.-- PACS nrs.: 05.50.+q, 02.90.+p, 75.10.Jm.-- MSC1991 codes: 82B23, 17B37.-- ArXiv pre-print available at: http://arxiv.org/abs/hep-th/9205109
Lecture given by C.G. at the Winter School on Theoretical Physics, Wroclaw, Poland, February 1992.
MR#: MR1230443 (94d:81071)
Keywords
Integrable models, Open chains, Quantum groups
Bibliographic citation
Journal of Geometry and Physics, 1993, vol. 11, n. 1-4, p. 453-462
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