Superintegrable Systems on Moduli Spaces of Flat Connections

被引：7
|
作者：
Arthamonov, S. [1 ,2 ]
Reshetikhin, N. [1 ,3 ,4 ]
机构：
[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
[2] ITEP, Moscow, Russia
[3] St Petersburg Univ, Dept Phys, St Petersburg, Russia
[4] Univ Amsterdam, KdV Inst Math, Sci Pk 904, NL-1098 XH Amsterdam, Netherlands
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2021年 / 386卷 / 03期
关键词：
HAMILTONIAN-SYSTEMS; LIE-GROUPS; SURFACE; INTEGRABILITY; QUANTIZATION; SYMMETRIES; GENERATORS; VARIETIES; BUNDLES; DUALITY;
D O I：
10.1007/s00220-021-04128-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The main result of this paper is the construction of a family of superintegrable Hamiltonian systems on moduli spaces of flat connections on a principal G-bundle on a surface. The moduli space is a Poisson variety with Atiyah-Bott Poisson structure. Among particular cases of such systems are spin generalizations of Ruijsenaars-Schneider models.
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页码：1337 / 1381
页数：45
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