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Realization of the Infinite-Dimensional 3-Algebras in the Calogero–Moser Model |
| YANG Yan-Xin1,2, YAO Shao-Kui2, ZHANG Chun-Hong2, ZHAO Wei-Zhong2** |
1College of Arts and Sciences, Shanxi Agricultural University, Taigu 030801
2School of Mathematical Sciences, Capital Normal University, Beijing 100048 |
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| Cite this article: |
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YANG Yan-Xin, YAO Shao-Kui, ZHANG Chun-Hong et al 2015 Chin. Phys. Lett. 32 040202 |
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Abstract We investigate realization of the infinite-dimensional 3-algebras in the classical Calogero–Moser model. In terms of the Lax matrix of the Calogero–Moser model and the Nambu 3-brackets in which the variables are the coordinates qi, and canonically conjugate momenta pi and the coupling parameter β are an extra auxiliary phase-space parameter, we present the realization of the Virasoro–Witt, w∞ and SDiff(T2) 3-algebras, respectively.
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Received: 31 December 2014
Published: 30 April 2015
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| PACS: |
02.30.Ik
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(Integrable systems)
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02.20.Tw
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(Infinite-dimensional Lie groups)
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11.25.Hf
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(Conformal field theory, algebraic structures)
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