Flat coordinates,topological Landau-Ginzburg models and the Seiberg-Witten period integrals |
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| Institution: | 1. Faculty of Medicine, University of New South Wales, Sydney, Australia;2. The University of Sydney, Brain and Mind Centre and School of Psychology, Sydney, Australia;3. Australian Research Council Centre of Excellence in Cognition and its Disorders, Sydney, Australia;4. The University of Sydney, Brain and Mind Centre and Sydney Medical School, Sydney, Australia;5. Concord Hospital, Sydney, Australia |
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| Abstract: | 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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