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 language||English (US)|
|Number of pages||39|
|Journal||Proceedings of the Royal Society of Edinburgh Section A: Mathematics|
|State||Published - Aug 2010|
All Science Journal Classification (ASJC) codes