The Gardner Category and Non-local Conservation Laws for N=1 Super KdV

Details The Gardner Category and Non-local Conservation Laws for N=1 Super KdV The Gardner Category and Non-local Conservation Laws for N=1 Super KdV

2005-04-19

arxiv.org/abs/hep-th/0504149v1

J.Math.Phys. 46 (2005) 103517

Physics

High Energy Physics

High Energy Physics - Theory

17 pages

Scientific paper

10.1063/1.2073289

The non-local conserved quantities of N=1 Super KdV are obtained using a complete algebraic framework where the Gardner category is introduced. A fermionic substitution semigroup and the resulting Gardner category are defined and several propositions concerning their algebraic structure are proven. This algebraic framework allows to define general transformations between different nonlinear SUSY differential equations. We then introduce a SUSY ring extension to deal with the non-local conserved quantities of SKdV. The algebraic version of the non-local conserved quantities is solved in terms of the exponential function applied to the $D^{-1}$ of the local conserved quantities of SKdV. Finally the same formulas are shown to work for rapidly decreasing superfields.

Affiliated with

Also associated with

No associations

Rating

The Gardner Category and Non-local Conservation Laws for N=1 Super KdV 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 Gardner Category and Non-local Conservation Laws for N=1 Super KdV, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Gardner Category and Non-local Conservation Laws for N=1 Super KdV will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-39907