2010/05/31 by Rutwig Campoamor-Stursberg, R. Campoamor-Stursberg, Michel Rausch de Traubenberg +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Central charge #Computer science #Construct (python library) #Geometry #Mathematical physics #Mathematics #Physics #Pure mathematics #Quartic function #Superalgebra #Supersymmetry #Symmetry (geometry) #Theoretical physics #hep-th
paper · pdf · doi:10.1088/1751-8113/43/45/455201
published as J.Phys.A43:455201,2010 · 14 pages, more details have been given, to appear in J. Phys. A
arxiv created 2010/09/21 · openalex publication_date 2010/10/19 · arxiv updated 2014/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In the paper under review, the authors show that some specific graded Lie superalgebras could induce specific quartic extensions of Lie algebras. Such construction is then applied to show that it can be associated naturally a quartic extension of the Poincaré algebra to the standard N = 2 supersymmetric extensions with central charges. This \nconstruction shows that the central charges play an important role because they constitute the essential ingredient to introduce the notion of a hidden quartic symmetry. It follows that massive invariant N = 2 Lagrangians are also invariant with respect \nto these hidden symmetries. The authors finally conclude that the quartic extensions obtained for such method give raise to a hierarchy of representations emerging from \nthe standard representation of the corresponding supersymmetric theory. It could be interesting to study the case for N > 2. \n