Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-03-31
Phys.Lett. B405 (1997) 85-94
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, LaTeX
Scientific paper
10.1016/S0370-2693(97)00605-9
N=2 extension of affine algebra $\hat{sl(2)\oplus u(1)}$ possesses a hidden global N=4 supersymmetry and provides a second hamiltonian structure for a new N=4 supersymmetric integrable hierarchy defined on N=2 affine supercurrents. This system is an N=4 extension of at once two hierarchies, N=2 NLS and N=2 mKdV ones. It is related to N=4 KdV hierarchy via a generalized Sugawara-Feigin-Fuks construction which relates N=2 $\hat{sl(2)\oplus u(1)}$ algebra to ``small'' N=4 SCA. We also find the underlying affine hierarchy for another integrable system with the N=4 SCA second hamiltonian structure, ``quasi'' N=4 KdV hierarchy. It respects only N=2 supersymmetry. For both new hierarchies we construct scalar Lax formulations. We speculate that any N=2 affine algebra admitting a quaternionic structure possesses N=4 supersymmetry and so can be used to produce N=4 supersymmetric hierarchies. This suggests a way of classifying all such hierarchies.
Ivanov Evgeny
Krivonos Sergey
Toppan Francesco
No associations
LandOfFree
N=4 Super NLS-mKdV Hierarchies 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 Super NLS-mKdV Hierarchies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and N=4 Super NLS-mKdV Hierarchies will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-272000