Flat Coordinates, Topological Landau-Ginzburg Models and the Seiberg-Witten Period Integrals

Details Flat Coordinates, Topological Landau-Ginzburg Models and the Seiberg-Witten Period Integrals Flat Coordinates, Topological Landau-Ginzburg Models and the Seiberg-Witten Period Integrals

1997-08-05

arxiv.org/abs/hep-th/9708017v2

Phys.Lett. B415 (1997) 45-53

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, latex, minor misprints are corrected and a reference added

Scientific paper

10.1016/S0370-2693(97)01225-2

We study the Picard-Fuchs differential equations for the Seiberg-Witten period integrals in N=2 supersymmetric Yang-Mills theory. For A-D-E gauge groups we derive the Picard-Fuchs equations by using the flat coordinates in the A-D-E singularity theory. We then find that these are equivalent to the Gauss-Manin system for two-dimensional A-D-E topological Landau-Ginzburg models and the scaling relation for the Seiberg-Witten differential. This suggests an interesting relationship between four-dimensional N=2 gauge theories in the Coulomb branch and two-dimensional topological field theories.

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