3-Algebraic structures of the quantum Calogero-Moser model
  We investigate the quantum Calogero-Moser model and reveal its hidden symmetries, i.e., the $W_{1+\infty}$ and Virasoro-Witt 3-algebras. In the large $N$ limit, we note that these two infinite dimensional 3-algebras reduce to the $w_{\infty}$ and special Virasoro-Witt 3-algebras which satisfy the fundamental identity condition, respectively. 
Chun-Hong Zhang, Lu Ding, Zhao-Wen Yan, Ke Wu and Wei-Zhong Zhao
hep-th