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Super w ∞ 3-algebra

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Abstract

We investigate the super high-order Virasoro-Witt 3-algebra. By applying the appropriate scaling limits on the generators, we obtain the super w ∞ 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 ∞ 3-algebra is presented.

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Authors and Affiliations

  1. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China

    Min-Ru Chen, Ke Wu & Wei-Zhong Zhao

  2. College of Mathematics and Information Sciences, Henan University, Kaifeng, 475001, China

    Min-Ru Chen

  3. Institute of Mathematics and Interdisciplinary Science, Capital Normal University, Beijing, 100048, China

    Wei-Zhong Zhao

Authors
  1. Min-Ru Chen
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  2. Ke Wu
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  3. Wei-Zhong Zhao
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Correspondence to Wei-Zhong Zhao.

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Chen, MR., Wu, K. & Zhao, WZ. Super w ∞ 3-algebra. J. High Energ. Phys. 2011, 90 (2011). https://doi.org/10.1007/JHEP09(2011)090

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