Electric-magnetic duality and the geometric langlands program

Anton Kapustin; Edward Witten

doi:10.4310/CNTP.2007.v1.n1.a1

Electric-magnetic duality and the geometric langlands program

Anton Kapustin, Edward Witten

Research output: Contribution to journal › Article › peer-review

498 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	1-236
Number of pages	236
Journal	Communications in Number Theory and Physics
Volume	1
Issue number	1
DOIs	https://doi.org/10.4310/CNTP.2007.v1.n1.a1
State	Published - Mar 2007
Externally published	Yes

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Mathematical Physics
General Physics and Astronomy

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10.4310/CNTP.2007.v1.n1.a1

Cite this

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Electric-magnetic duality and the geometric langlands program

Abstract

All Science Journal Classification (ASJC) codes

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