Geometric Langlands duality and the equations of Nahm and Bogomolny

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Geometric Langlands duality relates a representation of a simple Lie group G to the cohomology of a certain moduli space associated with the dual group G. In this correspondence, a principal SL2 subgroup of G makes an unexpected appearance. This can be explained using gauge theory, as this paper will show, with the help of the equations of Nahm and Bogomolny.

Original languageEnglish (US)
Pages (from-to)857-895
Number of pages39
JournalProceedings of the Royal Society of Edinburgh Section A: Mathematics
Issue number4
StatePublished - Aug 2010
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics


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