On the status of DELL systems

A detailed review of the p,q-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 Korot...

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Bibliographic Details
Published inNuclear physics. B Vol. 999; p. 116448
Main Authors Mironov, A., Morozov, A.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.02.2024
Elsevier
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Summary:A detailed review of the p,q-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.
ISSN:0550-3213
1873-1562
DOI:10.1016/j.nuclphysb.2024.116448