$w_{\infty }$ 3-algebra

Abstract

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.

9 pages, journal version

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Cited by in corpus (4)

• Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes
• Topological branes, p-algebras and generalized Nahm equations
• Classical and Quantal Ternary Algebras
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling