Electricmagnetic 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 YangMills theory in four dimensions. The keyingredients are electricmagnetic duality of gauge theory, mirrorsymmetry of sigmamodels, branes, Wilson and 't Hooft operators,and topological field theory. Seemingly esoteric notions of thegeometric Langlands program, such as Hecke eigensheaves and Dmodules, arise naturally from the physics.
 Publication:

Communications in Number Theory and Physics
 Pub Date:
 2007
 DOI:
 10.4310/CNTP.2007.v1.n1.a1
 arXiv:
 arXiv:hepth/0604151
 Bibcode:
 2007CNTP....1....1K
 Keywords:

 High Energy Physics  Theory
 EPrint:
 225 pp