Electric-Magnetic Duality And The Geometric Langlands Program

Details Electric-Magnetic Duality And The Geometric Langlands Program Electric-Magnetic Duality And The Geometric Langlands Program

2006-04-21

arxiv.org/abs/hep-th/0604151v3

Physics

High Energy Physics

High Energy Physics - Theory

225 pp; further clarifications

Scientific paper

The geometric Langlands program can be described in a natural way by compactifying on a Riemann surface C a twisted version of N=4 super Yang-Mills theory in four dimensions. The key ingredients are electric-magnetic duality of gauge theory, mirror symmetry of sigma-models, branes, Wilson and 't Hooft operators, and topological field theory. Seemingly esoteric notions of the geometric Langlands program, such as Hecke eigensheaves and D-modules, arise naturally from the physics.

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