Double Elliptic Systems: Problems and Perspectives
High Energy Physics - Theory
2007-05-23 v1
Abstract
This talk presents a list of problems related to the double-elliptic (Dell) integrable systems with elliptic dependence on both momenta and coordinates. As expected, in the framework of Seiberg-Witten theory the recently discovered explicit self-dual family of 2-particle Dell Hamiltonians provides a perturbative period matrix which is a logarithm of the ratio of the (momentum-space) theta-functions.
Cite
@article{arxiv.hep-th/0001168,
title = {Double Elliptic Systems: Problems and Perspectives},
author = {A. Mironov and A. Morozov},
journal= {arXiv preprint arXiv:hep-th/0001168},
year = {2007}
}
Comments
18 pages, LaTeX; talk presented at the International Workshop "Supersymmetries and quantum symmetries", Dubna, July 1999