SUSY gauge theories and Whitham integrable systems from compactification and SUSY breaking

Details SUSY gauge theories and Whitham integrable systems from compactification and SUSY breaking SUSY gauge theories and Whitham integrable systems from compactification and SUSY breaking

1999-06-03

arxiv.org/abs/hep-th/9906029v2

Prog.Theor.Phys.Suppl.135:1-17,1999

Physics

High Energy Physics

High Energy Physics - Theory

Contribution to the proceedings of the workshop "Gauge Theory and Integrable Systems", YITP, Kyoto, 26-29 January, 1999; 13pp,

Scientific paper

10.1143/PTPS.135.1

We review the Seiberg-Witten construction of low-energy effective actions and BPS spectra in SUSY gauge theories and its formulation in terms of integrable systems. It is also demonstrated how this formulation naturally appears from the compactified version of the theory with partially broken supersymmetry so that the integrable structures arise from the relation between bare and quantum variables and superpotentials of SUSY gauge theories. The Whitham integrable systems, literally corresponding to the uncompactified theory, are then restored by averaging over fast variables in the decompactification limit.

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