Quantum Field Theory and Statistical Systems On the status of DELL systems

被引：1
|
作者：
Mironov, A. [2 ,3 ,4 ]
Morozov, A. [1 ,3 ,4 ]
机构：
[1] MIPT, Dolgoprudnyi 141701, Russia
[2] Lebedev Phys Inst, Moscow 119991, Russia
[3] NRC Kurchatov Inst, Moscow 123182, Russia
[4] Inst Informat Transmiss Problems, Moscow 127994, Russia
来源：
NUCLEAR PHYSICS B | 2024年 / 999卷
基金：
俄罗斯科学基金会;
关键词：
INTEGRABLE SYSTEMS; DIFFERENCE-EQUATIONS; DYNAMICAL-SYSTEMS; HAMILTONIAN FLOWS; DUALITY; REPRESENTATION; EIGENFUNCTIONS; INTERTWINERS; DEFORMATION; OPERATORS;
D O I：
10.1016/j.nuclphysb.2024.116448
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
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.
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页数：25
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