2014/12/01 by N. González, N. L. González Albornoz, P. Salgado +2 · 1 citation
Mathematics · Physics and Astronomy · #math-ph #math.MP
paper · pdf · doi:10.1016/j.geomphys.2014.08.013
31 pages, no figures
arxiv created 2016/05/02 · arxiv updated 2016/05/03
We propose a modification to the Lie algebra S-expansion method. The modification is carried out by imposing a condition on the S-expansion procedure, when the semigroup is given by a cyclic group of even order. The S-expanded algebras are called SH-expanded algebras where S=Z2n. The invariant tensors for SH-expanded algebras are calculated and the dual formulation of SH-expansion procedure is proposed. We consider the SH-expansion of the five-dimensional AdS algebra and its corresponding invariants tensors are found. Then a Chern-Simons Lagrangian invariant under the five-dimensional AdS algebra SH-expanded is constructed and its relationship to the general relativity is studied.