More on gauge theory and geometric Langlands

Edward Witten

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

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 avoided.

Original languageEnglish (US)
Pages (from-to)624-707
Number of pages84
JournalAdvances in Mathematics
Volume327
DOIs
StatePublished - Mar 17 2018
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • Duality
  • Gauge theory
  • Geometric Langlands
  • Quantum field theory

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