Nonabelian KP hierarchy with Moyal algebraic coefficients

Details Nonabelian KP hierarchy with Moyal algebraic coefficients Nonabelian KP hierarchy with Moyal algebraic coefficients

1993-05-29

arxiv.org/abs/hep-th/9305169v1

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, Kyoto University KUCP-0062/93

Scientific paper

10.1016/0393-0440(94)90040-X

A higher dimensional analogue of the KP hierarchy is presented. Fundamental constituents of the theory are pseudo-differential operators with Moyal algebraic coefficients. The new hierarchy can be interpreted as large-$N$ limit of multi-component ($\gl(N)$ symmetric) KP hierarchies. Actually, two different hierarchies are constructed. The first hierarchy consists of commuting flows and may be thought of as a straightforward extension of the ordinary and multi-component KP hierarchies. The second one is a hierarchy of noncommuting flows, and related to Moyal algebraic deformations of selfdual gravity. Both hierarchies turn out to possess quasi-classical limit, replacing Moyal algebraic structures by Poisson algebraic structures. The language of W-infinity algebras provides a unified point of view to these results.

Affiliated with

Also associated with

No associations

Rating

Nonabelian KP hierarchy with Moyal algebraic coefficients 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 Nonabelian KP hierarchy with Moyal algebraic coefficients, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonabelian KP hierarchy with Moyal algebraic coefficients will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-650531