Electric-Magnetic Duality And The Geometric Langlands Program
高能物理 - 理论
2007-05-23 v3
摘要
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.
引用
@article{arxiv.hep-th/0604151,
title = {Electric-Magnetic Duality And The Geometric Langlands Program},
author = {Anton Kapustin and Edward Witten},
journal= {arXiv preprint arXiv:hep-th/0604151},
year = {2007}
}
备注
225 pp; further clarifications