Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-05-16
Int.J.Mod.Phys. A10 (1995) 4563-4600
Physics
High Energy Physics
High Energy Physics - Theory
44 pages, plain TeX
Scientific paper
In this paper, we review various properties of the supersymmetric Two Boson (sTB) system. We discuss the equation and its nonstandard Lax representation. We construct the local conserved charges as well as the Hamiltoniam structures of the system. We show how this system leads to various other known supersymmetric integrable models under appropriate field redefinition. We discuss the sTB and the supersymmetric nonlinear Schr\"odinger (sNLS) equations as constrained, nonstandard supersymmetric Kadomtsev-Petviashvili (sKP) systems and point out that the nonstandard sKP systems naturally unify all the KP and mKP flows while leading to a new integrable supersymmetrization of the KP equation. We construct the nonlocal conserved charges associated with the sTB system and show that the algebra of charges corresponds to a graded, cubic algebra. We also point out that the sTB system has a hidden supersymmetry making it an $N=2$ extended supersymmetric system.
Brunelli Jose Carlos
Das Ashok
No associations
LandOfFree
Supersymmetric Two Boson Equation, Its Reductions and the Nonstandard Supersymmetric KP Hierarchy 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 Supersymmetric Two Boson Equation, Its Reductions and the Nonstandard Supersymmetric KP Hierarchy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Supersymmetric Two Boson Equation, Its Reductions and the Nonstandard Supersymmetric KP Hierarchy will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-280152