2014/05/31 by Patrick Concha, P. K. Concha, Evelyn Rodríguez +1 · 6 citations
Mathematics · Physics and Astronomy · #Abelian group #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Generalization #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Pure mathematics #Semigroup #Simple (philosophy) #Superalgebra #hep-th #math-ph #math.MP
paper · pdf · doi:10.1016/j.nuclphysb.2014.07.022
published as Nucl. Phys. B 886, 1128-1152 (2014) · 31 pages, some clarifications in the abstract,introduction and conclusion, typos corrected, a reference and acknowledgements added, accepted for publication in Nuclear Physics B
openalex publication_date 2014/07/24 · arxiv created 2014/08/03 · arxiv updated 2014/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Abelian semigroup expansion is a powerful and simple method to derive new Lie algebras from a given one. Recently it was shown that the S-expansion of so(3,2) leads us to the Maxwell algebra M. In this paper we extend this result to superalgebras, by proving that different choices of abelian semigroups S lead to interesting D=4 Maxwell Superalgebras. In particular, the minimal Maxwell superalgebra sM and the N-extended Maxwell superalgebra sM(N) recently found by the Maurer–Cartan expansion procedure, are derived alternatively as an S-expansion of osp(4|N). Moreover, we show that new minimal Maxwell superalgebras type sMm+2 and their N-extended generalization can be obtained using the S-expansion procedure.