English

The Toda system and solution to the $\cal{N}$=2 SUSY Yang-Mills theory

High Energy Physics - Theory 2018-08-01 v1 Mathematical Physics math.MP

Abstract

We briefly review the place of the Toda closed chain and the Toda field theory in solution to the N\cal{N}=2 supersymmetric Yang-Mills theory. The classical and quantum aspects of the correspondence are mentioned and the role of branes as degrees of freedom is emphasized.

Keywords

Cite

@article{arxiv.1805.08617,
  title  = {The Toda system and solution to the $\cal{N}$=2 SUSY Yang-Mills theory},
  author = {A. Gorsky},
  journal= {arXiv preprint arXiv:1805.08617},
  year   = {2018}
}

Comments

15 pages, Invited review for the Special Issue "Fifty years of the Toda lattice", Published in J.Phys.A,2018. arXiv admin note: text overlap with arXiv:1712.02936