More On Gauge Theory And Geometric Langlands

@article{Witten2015MoreOG,
  title={More On Gauge Theory And Geometric Langlands},
  author={Edward Witten},
  journal={arXiv: High Energy Physics - Theory},
  year={2015}
}
  • E. Witten
  • Published 13 June 2015
  • Mathematics, Physics
  • arXiv: High Energy Physics - Theory
The geometric Langlands correspondence was described some years ago in terms of $S$-duality of $\N=4$ super Yang-Mills theory. Some additional matters relevant to this story are described here. The main goal is to explain directly why an $A$-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… Expand

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