w∞3-algebra

2008/07/31 by Shankhadeep Chakrabortty, Alok Kumar, Sachin Jain · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #hep-th

paper · pdf · doi:10.1088/1126-6708/2008/09/091

published as JHEP 0809:091,2008 · 9 pages, journal version

openalex publication_date 2008/09/22 · arxiv created 2009/06/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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

Citations

• Virasoro 3-algebra from scalar densities
• On Nambu-Lie 3-algebra representations
• Metric Lie n-algebras and double extensions
• Coulomb Branch of the Lorentzian Three Algebra Theory
• Classical and Quantum Nambu Mechanics
• Supersymmetric Yang-Mills theory from lorentzian three-algebras
• Gauge symmetry and supersymmetry of multiple M2-branes
• 𝒩 = 8 superconformal Chern-Simons theories

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