Generalization of extended Lie algebras by expansions of extended de Sitter algebra, in four-dimensions

Abstract

Four-dimensional extended: Poincaré, AdS-Lorentz and Maxwell algebras, are obtained by expanding an extension of de Sitter or conformal algebra, SO(4,1) or SO(3,2). The procedure can be generalized to obtain a new family of extended ${\mathcal{C}}_k^E$ and its flat limit, the extended ${\mathcal{B}}_k^E$ algebras. The extended ${\mathcal{C}}_k$ and ${\mathcal{B}}_k$ algebras have been introduced in the literature recently.The extended Poincaré algebra is also obtained as an Inönü-Wigner contraction of extended de Sitter algebra.

17 pages, 1 figure

References in corpus (2)

• Maxwell Superalgebras and Abelian Semigroup Expansion
• Generalized Poincare algebras and Lovelock-Cartan gravity theory