Super $w_{\infty}$ 3-algebra

Details Super $w_{\infty}$ 3-algebra Super $w_{\infty}$ 3-algebra

2011-07-17

arxiv.org/abs/1107.3295v2

JHEP 1109:090,2011

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1007/JHEP09(2011)090

We investigate the super high-order Virasoro 3-algebra. By applying the appropriate scaling limits on the generators, we obtain the super $w_{\infty}$ 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 $w_{\infty}$ 3-algebra is presented.

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