Electric-magnetic duality and the geometric Langlands program
Abstract
The geometric Langlands program can be described in a natural way bycompactifying on a Riemann surface C a twisted version of EUN=4 super Yang-Mills theory in four dimensions. The keyingredients are electric-magnetic duality of gauge theory, mirrorsymmetry of sigma-models, branes, Wilson and 't Hooft operators,and topological field theory. Seemingly esoteric notions of thegeometric Langlands program, such as Hecke eigensheaves and D-modules, arise naturally from the physics.
- Publication:
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Communications in Number Theory and Physics
- Pub Date:
- 2007
- DOI:
- 10.4310/CNTP.2007.v1.n1.a1
- arXiv:
- arXiv:hep-th/0604151
- Bibcode:
- 2007CNTP....1....1K
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 225 pp