Extended Seiberg-Witten theory and integrable hierarchy

  title={Extended Seiberg-Witten theory and integrable hierarchy},
  author={Andrei Vladimirovich Marshakov and Nikita A. Nekrasov},
  journal={Journal of High Energy Physics},
The prepotential of the effective = 2 super-Yang-Mills theory, perturbed in the ultraviolet by the descendents ?d4??tr ??k+1 of the single-trace chiral operators, is shown to be a particular tau-function of the quasiclassical Toda hierarchy. In the case of noncommutative U(1) theory (or U(N) theory with 2N?2 fundamental hypermultiplets at the appropriate locus of the moduli space of vacua) or a theory on a single fractional D3 brane at the ADE singularity the hierarchy is the dispersionless… 

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