A-D-ESingularity and the Seiberg-Witten Theory | Zendy

Katsushi Ito | Zendy

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A-D-ESingularity and the Seiberg-Witten Theory

Author(s) -

Katsushi Ito

Publication year - 1999

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.135.94

Subject(s) - superpotential , singularity , coulomb , mathematical physics , singularity theory , seiberg duality , physics , gauge theory , lattice (music) , scaling , supersymmetric gauge theory , mathematics , quantum mechanics , mathematical analysis , supersymmetry , geometry , gauge anomaly , acoustics , electron

We study the low-energy effective theory of N=2 supersymmetric Yang-Millstheory with ADE gauge groups in view of the spectral curves of the periodicToda lattice and the A-D-E singularity theory. We examine the exact solutionsby using the Picard-Fuchs equations for the period integrals of theSeiberg-Witten differential. In particular, we find that the superconformalfixed point in the strong coupling region of the Coulomb branch ischaracterized by the ADE superpotential. We compute the scaling exponents,which agree with the previous results.Comment: 20 pages, latex2e, Talk at the workshop ``Gauge Theory and Integrable Models'', YITP, Kyoto, January 26-29,199

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