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Electric-Magnetic Duality And The Geometric Langlands Program

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arxiv hep-th/0604151 v3 pith:HA74NHQB submitted 2006-04-21 hep-th

Anton Kapustin , Edward Witten This is my paper · ORCID
classification hep-th
keywords geometriclanglandsprogramtheorydualityelectric-magneticarisebranes
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 12 Pith papers

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