Virasoro 3-algebra from scalar densities

Abstract

It is shown that the ternary Virasoro-Witt algebra of Curtright, Fairlie and Zachos can be constructed by applying the Nambu commutator to the vect(1) realization on scalar densities. This construction is generalized to vect(d), but the corresponding 3-algebra fails to close.

5 pages

References in corpus (6)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Comments on Multiple M2-branes
• M2 to D2 revisited
• Ternary Virasoro - Witt Algebra
• Kac-Moody Extensions of 3-Algebras and M2-branes

Cited by in corpus (10)

• Topological branes, p-algebras and generalized Nahm equations
• Ternary q-Virasoro-Witt Hom-Nambu-Lie algebras
• $w_{\infty }$ 3-algebra
• Towards Holographic Gravity Dual of N=1Superconformal Chern-Simons Gauge Theory
• Classical and Quantal Ternary Algebras
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• Super $w_{\infty }$ 3-algebra
• Bagger-Lambert theory on an orbifold and its relation to Chern-Simons-matter theories
• On thermodynamics of N=6 superconformal Chern-Simons theories at strong coupling
• On $W_{1+\infty }$ 3-algebra and integrable system