On the status of DELL systems
High Energy Physics - Theory
2024-01-17 v2 Mathematical Physics
math.MP
Abstract
A detailed review of the -duality for Calogero system and its generalizations is given. For the first time, we present some of elliptic-trigonometric Hamiltonians dual to the elliptic Ruijsenaars Hamiltonians (i.e. trigonometric-elliptic ones), and explain their relations to the bi-elliptic Koroteev-Shakirov (KS) model. The most interesting self-dual double-elliptic (DELL) system remains a mystery, but we provide a clearer formulation of the problem and describe the steps that are still to be done.
Keywords
Cite
@article{arxiv.2309.06403,
title = {On the status of DELL systems},
author = {A. Mironov and A. Morozov},
journal= {arXiv preprint arXiv:2309.06403},
year = {2024}
}
Comments
LaTeX, 29 pages