Calogero-Moser eigenfunctions modulo ps

被引：0
作者：
Gorsky, Alexander [1 ]
Varchenko, Alexander [2 ]
机构：
[1] Russian Acad Sci, Inst Informat Transmiss Problems, Bolshoy Karetny Per 19, Moscow 127051, Russia
[2] Univ North Carolina Chapel Hill, Dept Math, Chapel Hill, NC 27599 USA
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2024年 / 114卷 / 02期
关键词：
Calogero-Moser system; KZ equations; p-adic approximation; KNIZHNIK-ZAMOLODCHIKOV; DIFFERENTIAL-EQUATIONS; INTEGRABLE SYSTEMS; FLAG MANIFOLDS; GAUDIN MODEL; QUANTUM; REPRESENTATIONS; OPERATORS; ALGEBRAS; DUALITY;
D O I：
10.1007/s11005-024-01792-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this note we use the Matsuo-Cherednik duality between the solutions to the Knizhnik-Zamolodchikov (KZ) equations and eigenfunctions of Calogero-Moser Hamiltonians to get the polynomial p(s)-truncation of the Calogero-Moser eigenfunctions at a rational coupling constant. The truncation procedure uses the integral representation for the hypergeometric solutions to KZ equations. The s ->infinity limit to the pure p-adic case has been analyzed in the n=2 case.
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页数：27
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