Multiplicative integrable models from Poisson-Nijenhuis structures
Symplectic Geometry
2017-06-06 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Algebra
Abstract
We discuss the role of Poisson-Nijenhuis geometry in the definition of multiplicative integrable models on symplectic groupoids. These are integrable models that are compatible with the groupoid structure in such a way that the set of contour levels of the hamiltonians in involution inherits a topological groupoid structure. We show that every maximal rank PN structure defines such a model. We consider the examples defined on compact hermitian symmetric spaces and studied in [arXiv:1503.07339].
Cite
@article{arxiv.1507.01500,
title = {Multiplicative integrable models from Poisson-Nijenhuis structures},
author = {Francesco Bonechi},
journal= {arXiv preprint arXiv:1507.01500},
year = {2017}
}
Comments
21 pages. Based on the talk given at the conference "From Poisson Brackets to Universal Quantum Symmetries", August 18-22 2014, Stephan Banach International Mathematical Center, Warsaw