The Extended Supersymmetrization of the Multicomponent Kadomtsev--Petviashvilli Hierarchy

Details The Extended Supersymmetrization of the Multicomponent Kadomtsev--Petviashvilli Hierarchy The Extended Supersymmetrization of the Multicomponent Kadomtsev--Petviashvilli Hierarchy

1995-10-25

arxiv.org/abs/hep-th/9510185v1

J.Phys.A29:1281-1292,1996

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

10.1088/0305-4470/29/6/014

We describe three different approaches to the extended (N=2) supersymmetrization of the multicomponent KP hierarchy. In the first one we utilize only superfermions while in the second only superbosons and in the third superbosons as well as superfermions. It is shown that many soliton equations can be embedded in the supersymmetry theory by using the first approach even if we do not change these equations in the bosonic limit of the supersymmetry. In the second or third approach we obtain a generalization of the soliton equations in the bosonic limit which remains in the class of the usual commuting functions. As the byproduct of our analysis we prove that for the first procedure the bosonic part of the one--component supersym\-me\-tric KP hierarchy coincides with the usual classical two--component KP hierarchy.

Affiliated with

Also associated with

No associations

Rating

The Extended Supersymmetrization of the Multicomponent Kadomtsev--Petviashvilli 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 The Extended Supersymmetrization of the Multicomponent Kadomtsev--Petviashvilli Hierarchy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Extended Supersymmetrization of the Multicomponent Kadomtsev--Petviashvilli Hierarchy will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-543761