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

References in corpus (3)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• The Schrödinger-Virasoro Lie group and algebra: from geometry to representation theory

Cited by in corpus (8)

• Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes
• Topological branes, p-algebras and generalized Nahm equations
• $w_{\infty }$ 3-algebra
• Classical and Quantal Ternary Algebras
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• Nambu-Lie 3-Algebras on Fuzzy 3-Manifolds
• Virasoro 3-algebra from scalar densities
• Ternutator Identities