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Nuclear Physics B
Article . 2002 . Peer-reviewed
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Nuclear Physics B
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arXiv.org e-Print Archive
Preprint . 2001
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https://dx.doi.org/10.48550/ar...
Article . 2001
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Elliptic Gaudin models and elliptic KZ equations

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 May 2002Embargo end date: 01 Jan 2001 Australia Publisher:Elsevier BVJournal:Nuclear Physics B, volume 630, pages 492-508 (issn: 0550-3213, Copyright policy )
Authors: Yao-Zhong Zhang; Mark D. Gould; Shao-You Zhao; Shao-You Zhao;

doi: 10.1016/s0550-3213(02)00136-0 , 10.48550/arxiv.nlin/0110038

arXiv: http://arxiv.org/abs/nlin/0110038

Elliptic Gaudin models and elliptic KZ equations

Abstract

The Gaudin models based on the face-type elliptic quantum groups and the $XYZ$ Gaudin models are studied. The Gaudin model Hamiltonians are constructed and are diagonalized by using the algebraic Bethe ansatz method. The corresponding face-type Knizhnik-Zamolodchikov equations and their solutions are given.

LaTex file 18 pages; Errors corrected and references added

Country
Australia
Related Organizations
Keywords

Hamiltonians, High Energy Physics - Theory, Elliptic Gaudin models, Nonlinear Sciences - Exactly Solvable and Integrable Systems, 230103 Rings And Algebras, Knizhnik–Zamolodchikov equations, Condensed Matter (cond-mat), FOS: Physical sciences, face-type elliptic quantum groups, Condensed Matter, Mathematical Physics (math-ph), Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, algebraic Bethe ansatz, High Energy Physics - Theory (hep-th), Quantum equilibrium statistical mechanics (general), Exactly Solvable and Integrable Systems (nlin.SI), Quantum groups and related algebraic methods applied to problems in quantum theory, Mathematical Physics

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    		 16
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    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
16
Average
Average
Top 10%
Green
gold