English

Integrability and Seiberg-Witten Exact Solution

High Energy Physics - Theory 2009-10-28 v2

Abstract

The exact Seiberg-Witten (SW) description of the light sector in the N=2N=2 SUSY 4d4d Yang-Mills theory is reformulated in terms of integrable systems and appears to be a Gurevich-Pitaevsky (GP) solution to the elliptic Whitham equations. We consider this as an implication that dynamical mechanism behind the SW solution is related to integrable systems on the moduli space of instantons. We emphasize the role of the Whitham theory as a possible substitute of the renormalization-group approach to the construction of low-energy effective actions.

Keywords

Cite

@article{arxiv.hep-th/9505035,
  title  = {Integrability and Seiberg-Witten Exact Solution},
  author = {A. Gorsky and I. Krichever and A. Marshakov and A. Mironov and A. Morozov},
  journal= {arXiv preprint arXiv:hep-th/9505035},
  year   = {2009}
}

Comments

Latex, figs included