$w_{\infty}$ 3-algebra

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

2008-07-02

arxiv.org/abs/0807.0284v3

JHEP 0809:091,2008

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, journal version

Scientific paper

10.1088/1126-6708/2008/09/091

We use `lone-star' product of the $W_{\infty}$ generators as well as their
commutation relations to obtain a $w_{\infty}$ 3-algebra by applying
appropriate double scaling limits on the generators. We show explicitly that
"Fundamental Identity Condition" (FI) of 3-algebra is satisfied.

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