Ternary Virasoro - Witt Algebra

Abstract

A 3-bracket variant of the Virasoro-Witt algebra is constructed through the use of su(1,1) enveloping algebra techniques. The Leibniz rules for 3-brackets acting on other 3-brackets in the algebra are discussed and verified in various situations.

6 pages, LateX

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Cited by in corpus (24)

• n-ary algebras: a review with applications
• On n-ary Hom-Nambu and Hom-Nambu-Lie algebras
• Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes
• Topological branes, p-algebras and generalized Nahm equations
• $w_{\infty }$ 3-algebra
• Ternary q-Virasoro-Witt Hom-Nambu-Lie algebras
• Towards Holographic Gravity Dual of N=1Superconformal Chern-Simons Gauge Theory
• Classical and Quantal Ternary Algebras
• Nambu bracket and M-theory
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• Super $w_{\infty }$ 3-algebra
• PT symmetry, Cartan decompositions, Lie triple systems and Krein space related Clifford algebras
• Infinite-dimensional 3-algebra and integrable system
• Nambu-Lie 3-Algebras on Fuzzy 3-Manifolds
• Virasoro 3-algebra from scalar densities
• Ternutator Identities
• On n-ary Hom-Nambu and Hom-Maltsev algebras
• On thermodynamics of N=6 superconformal Chern-Simons theories at strong coupling
• On q-deformed infinite-dimensional n-algebra
• Multi-parameter formal deformations of ternary hom-Nambu-Lie algebras
• (p,q)-deformed Virasoro-Witt n-algebra
• 3-Algebraic structures of the quantum Calogero-Moser model
• On $W_{1+\infty }$ 3-algebra and integrable system
• The infinite dimensional Unital 3-Lie Poisson algebra