11/09/2008, 15:00 — 16:00 — Amphitheatre Pa1, Mathematics Building
Anton Kapustin, California Institute of Technology
Gauge Theory and the Geometric Langlands Program - II
Recently, it has been shown that Geometric Langlands duality is
closely related to properties of quantized supersymmetric
Yang-Mills theory in four dimensions, as well as to Mirror Symmetry
and Topological Field Theory. I will provide an introduction to
these developments.
Literature
- A. Kapustin and E. Witten, Electric-Magnetic Duality and the
Geometric Langlands Program, hep-th/0604151
- S.Gukov and E. Witten, Gauge Theory, Ramification, and the
Geometric Langlands Program, hep-th/0612173
- A. Kapustin, Holomorphic reduction of \(N=2\) gauge theories,
Wilson-'t Hooft operators, and S-duality, hep-th/0612119.
For some background, the following papers are very useful:
- E. Witten, Topological Quantum Field Theory, Commun. Math.
Phys. 117 (1988) 353.
- E. Witten, Mirror manifolds and Topological Field Theory,
hep-th/9112056.