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Get Free AccessThe 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.
Anton Kapustin, Edward Witten (2007). Electric-magnetic duality and the geometric Langlands program. Communications in Number Theory and Physics, 1(1), pp. 1-236, DOI: 10.4310/cntp.2007.v1.n1.a1.
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Type
Article
Year
2007
Authors
2
Datasets
0
Total Files
0
Language
English
Journal
Communications in Number Theory and Physics
DOI
10.4310/cntp.2007.v1.n1.a1
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