Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-08-30
Nucl.Phys. B740 (2006) 243-270
Physics
High Energy Physics
High Energy Physics - Theory
35 pages
Scientific paper
10.1016/j.nuclphysb.2006.01.005
The Moyal momentum algebra is, once again, used to discuss some important aspects of NC integrable models and 2d conformal field theories. Among the results presented, we setup algebraic structures and makes useful convention notations leading to extract non trivial properties of the Moyal momentum algebra. We study also the Lax pair building mechanism for particular examples namely, the noncommutative KdV and Burgers systems. We show in a crucial step that these two systems are mapped to each others through a crucial mapping. This makes a strong constraint on the NC Burgers system which corresponds to linearizing its associated differential equation. From the conformal field theory point of view, this constraint equation is nothing but the analogue of the conservation law of the conformal current. We believe that this mapping might help to bring new insights towards understanding the integrability of noncommutative 2d-systems.
No associations
LandOfFree
Moyal Noncommutative Integrability and the Burgers-KdV Mapping 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 Moyal Noncommutative Integrability and the Burgers-KdV Mapping, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Moyal Noncommutative Integrability and the Burgers-KdV Mapping will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-116544