Abstract
We describe the R-matrix structure associated with integrable extensions, containing both one-body and two-body potentials, of the A N Calogero-Moser N-body systems. We construct non-linear, finite dimensional Poisson algebras of observables. Their N → ∞ limits realize the infinite Lie algebras Sdiff( R × S 1) in the trigonometric case and Sdiff( R 2) in the rational case. It is then isomorphic to the algebra of observables constructed in the two-dimensional collective string field theory.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
