Flat gauge fields and the Riemann-Hilbert correspondence
Mathematical Physics
2020-12-02 v2 High Energy Physics - Theory
math.MP
Abstract
The geometric phase that appears in the effects of Aharonov-Bohm type is interpreted in the frame of Deligne's version of the Riemann-Hilbert correspondence. We extend also the concept of flat gauge field to -branes which are coherent sheaves, so that such a field on a sheaf turns it into a holonomic regular -module.
Keywords
Cite
@article{arxiv.1912.01239,
title = {Flat gauge fields and the Riemann-Hilbert correspondence},
author = {Andrés Viña},
journal= {arXiv preprint arXiv:1912.01239},
year = {2020}
}
Comments
Extended version to be published in Reports on mathematical Physics