Generalized theta series and monodromy of a Casimir connection. Case of rank 1

被引：0
|
作者：
Dotsenko, E. I. [1 ]
机构：
[1] Natl Res Ctr, Kurchatov Inst, Moscow, Russia
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2024年 / 219卷 / 02期
关键词：
Casimir connection monodromy; Verma modules; incomplete Appell-Lerch sums;
D O I：
10.1134/S0040577924050015
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The monodromy of the sl(2) Casimir connection is considered. It is shown that the trace of the monodromy operator over an appropriate space of flat sections gives the Jacobi theta constant and incomplete theta functions. A definition of new objects, namely, incomplete Appell-Lerch sums, is given, and their connection with the trace of the monodromy operator is revealed.
引用
收藏
页码：705 / 711
页数：7
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