English

On the Duistermaat-Heckman Integration Formula And Integrable Models

High Energy Physics - Theory 2008-02-03 v1 Quantum Algebra Exactly Solvable and Integrable Systems solv-int

Abstract

In this article we review the Duistermaat-Heckman integration formula and the ensuing equivariant cohomology structure, in the finite dimensional case. In particular, we discuss the connection between equivariant cohomology and classical integrability. We also explain how the integration formula is derived, and explore some possible new directions that could eventually yield novel integration formulas for nontrivial integrable models.

Keywords

Cite

@article{arxiv.hep-th/9402041,
  title  = {On the Duistermaat-Heckman Integration Formula And Integrable Models},
  author = {T. Karki and A. J. Niemi},
  journal= {arXiv preprint arXiv:hep-th/9402041},
  year   = {2008}
}

Comments

18 pages. Talk presented by A. Niemi at XXVIIth International Symposium on the Theory of Elementary Particles Wendisch-Rietz (Germany) September 7-11, 1993