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

Abstract

We briefly review the place of the Toda closed chain and the Toda field theory in solution to the $\mathcal{N}$=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.

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

References in corpus (7)

• A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
• Deforming SW curve
• Quantum Geometry of Resurgent Perturbative/Nonperturbative Relations
• RG-Whitham dynamics and complex Hamiltonian systems
• Expanding the Bethe/Gauge Dictionary
• Bands and gaps in Nekrasov partition function
• Exact partition functions for the $\Omega$-deformed $\mathcal{N}=2^{\ast }$ $SU(2)$ gauge theory

Cited by in corpus (1)

• A slow review of the AGT correspondence