Abelian Chern-Simons theory on the torus and physical views on the Hecke operators
High Energy Physics - Theory
2018-04-11 v1 Number Theory
Abstract
In the previous paper arXiv:1711.07122, we show that a holomorphic zero-mode wave function in abelian Chern-Simons theory on the torus can be considered as a quantum version of a modular form of weight 2. Motivated by this result, in this paper we consider an action of a Hecke operator on such a wave function from a gauge theoretic perspective. This leads us to obtain some physical views on the Hecke operators in number theory.
Cite
@article{arxiv.1804.02848,
title = {Abelian Chern-Simons theory on the torus and physical views on the Hecke operators},
author = {Yasuhiro Abe},
journal= {arXiv preprint arXiv:1804.02848},
year = {2018}
}
Comments
19 pages. arXiv admin note: text overlap with arXiv:1711.07122