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
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.
. [J]. 中国物理快报, 2015, 32(4): 40202-040202.
YANG Yan-Xin, YAO Shao-Kui, ZHANG Chun-Hong, ZHAO Wei-Zhong. Realization of the Infinite-Dimensional 3-Algebras in the Calogero–Moser Model. Chin. Phys. Lett., 2015, 32(4): 40202-040202.