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Geometric Langlands duality and the equations of Nahm and Bogomolny

Published online by Cambridge University Press:  04 August 2010

Edward Witten
Edward Witten
Affiliation:
Theory Group, CERN CH1211, Geneva 23, Switzerland
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Abstract

Geometric Langlands duality relates a representation of a simple Lie group Gv to the cohomology of a certain moduli space associated with the dual group G. In this correspondence, a principal SL2 subgroup of Gv 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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 140 , Issue 4 , August 2010 , pp. 857 - 895
Copyright
Copyright © Royal Society of Edinburgh 2010

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