Journal of Nonlinear Mathematical Physics

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Volume 17, Issue 3, September 2010, Pages 349 - 356

Symmetry of osp(m|n) Spin Calogero–Sutherland Models

Authors
Kazuyuki Oshima
Center for General Education, Aichi Institute of Technology, 1247 Yachigusa, Yakusa Cho, Toyota City, Aichi Prefecture, 470-0392, Japan,oshima@aitech.ac.jp
Received 1 October 2009, Accepted 3 February 2010, Available Online 7 January 2021.
DOI
10.1142/S1402925110000945How to use a DOI?
Keywords
Calogero–Sutherland model; spin generalization; Lie superalgebra; half-loop algebra symmetry; Yangian symmetry
Abstract

We introduce osp(m|n) spin Calogero–Sutherland models and find that the models have the symmetry of osp(m|n) half-loop algebra or Yangian of osp(m|n) if and only if the coupling constant of the model equals to 2m−n−4.

Copyright
© 2010 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
17 - 3
Pages
349 - 356
Publication Date
2021/01/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925110000945How to use a DOI?
Copyright
© 2010 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Kazuyuki Oshima
PY  - 2021
DA  - 2021/01/07
TI  - Symmetry of osp(m|n) Spin Calogero–Sutherland Models
JO  - Journal of Nonlinear Mathematical Physics
SP  - 349
EP  - 356
VL  - 17
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925110000945
DO  - 10.1142/S1402925110000945
ID  - Oshima2021
ER  -