Characteristic Classes and Integrable Systems for Simple Lie Groups

Details Characteristic Classes and Integrable Systems for Simple Lie Groups Characteristic Classes and Integrable Systems for Simple Lie Groups

2010-07-23

arxiv.org/abs/1007.4127v2

Physics

Mathematical Physics

51 pages, 8 fig

Scientific paper

This paper is a continuation of our previous paper \cite{LOSZ}. For simple complex Lie groups with non-trivial center, i.e. classical simply-connected groups, $E_6$ and $E_7$ we consider elliptic Modified Calogero-Moser systems corresponding to the Higgs bundles with an arbitrary characteristic class. These systems are generalization of the classical Calogero-Moser (CM) systems related to a simple Lie groups and contain CM systems related to some (unbroken) subalgebras. For all algebras we construct a special basis, corresponding to non-trivial characteristic classes, the explicit forms of Lax operators and Hamiltonians.

Affiliated with

Also associated with

No associations

Rating

Characteristic Classes and Integrable Systems for Simple Lie Groups 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 Characteristic Classes and Integrable Systems for Simple Lie Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Characteristic Classes and Integrable Systems for Simple Lie Groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-139012