Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-11-30
Mod.Phys.Lett. A14 (1999) 2673-2686
Physics
High Energy Physics
High Energy Physics - Theory
Few references added, misprints corrected
Scientific paper
10.1142/S0217732399002819
The local Sugawara constructions of the "small" N=4 SCA in terms of supercurrents of N=2 extensions of the affinization of the sl(2|1) and sl(3) algebras are investigated. The associated super mKdV type hierarchies induced by N=4 SKdV ones are defined. In the sl(3) case the existence of two inequivalent Sugawara constructions is found. The long one involves all the affine sl(3)-valued currents, while the "short" one deals only with those from the subalgebra sl(2)\oplus u(1). As a consequence, the sl(3)-valued affine superfields carry two inequivalent mKdV type super hierarchies induced by the correspondence between "small" N=4 SCA and N=4 SKdV hierarchy. However, only the first hierarchy posseses genuine global N=4 supersymmetry. We discuss peculiarities of the realization of this N=4 supersymmetry on the affine supercurrents.
Ivanov Evgeny
Krivonos Sergey
Toppan Francesco
No associations
LandOfFree
N=4 Sugawara construction on affine sl(2|1), sl(3) and mKdV-type superhierarchies does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with N=4 Sugawara construction on affine sl(2|1), sl(3) and mKdV-type superhierarchies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and N=4 Sugawara construction on affine sl(2|1), sl(3) and mKdV-type superhierarchies will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-295632