More On Gauge Theory And Geometric Langlands
High Energy Physics - Theory
2017-07-31 v3 Representation Theory
Abstract
The geometric Langlands correspondence was described some years ago in terms of -duality of super Yang-Mills theory. Some additional matters relevant to this story are described here. The main goal is to explain directly why an -brane of a certain simple kind can be an eigenbrane for the action of 't Hooft operators. To set the stage, we review some facts about Higgs bundles and the Hitchin fibration. We consider only the simplest examples, in which many technical questions can be avoided.
Keywords
Cite
@article{arxiv.1506.04293,
title = {More On Gauge Theory And Geometric Langlands},
author = {Edward Witten},
journal= {arXiv preprint arXiv:1506.04293},
year = {2017}
}
Comments
79 pp, minor corrections in v. 2, more detailed description of electric eigenbrane in v. 3