Super $w_{\infty}$ 3-algebra
High Energy Physics - Theory
2011-09-23 v2
Abstract
We investigate the super high-order Virasoro 3-algebra. By applying the appropriate scaling limits on the generators, we obtain the super 3-algebra which satisfies the generalized fundamental identity condition. We also define a super Nambu-Poisson bracket which satisfies the generalized skewsymmetry, Leibniz rule and fundamental identity. By means of this super Nambu-Poisson bracket, the realization of the super 3-algebra is presented.
Cite
@article{arxiv.1107.3295,
title = {Super $w_{\infty}$ 3-algebra},
author = {Min-Ru Chen and Ke Wu and Wei-Zhong Zhao},
journal= {arXiv preprint arXiv:1107.3295},
year = {2011}
}
Comments
10 pages