RT Journal Article
T1 Unexpected Features of Supersymmetry with Central Charges
A1 Campoamor Stursberg, Otto-Rudwig
A1 Rausch de Traubenberg, Michel
AB 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 construction 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 to these hidden symmetries. The authors finally conclude that the quartic extensions obtained for such method give raise to a hierarchy of representations emerging from the standard representation of the corresponding supersymmetric theory. It could be interesting to study the case for N > 2.
PB IOP Publishing Ltd
SN 1751-8113
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/43757
UL https://hdl.handle.net/20.500.14352/43757
LA eng
NO Universidad Complutense de Madrid/Banco de Santander
DS Docta Complutense
RD 4 abr 2025