$N=2$ Superconformal Field Theories in $4$ Dimensions and A-D-E Classification

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/54649Making use of the exact solutions of the $N=2$ supersymmetric gauge theories we construct new classes of superconformal field theories (SCFTs) by fine-tuning the moduli parameters and bringing the theories to critical points. In the case of SCFTs constructed from pure gauge theories without matter $N=2$ critical points seem to be classified according to the A-D-E classification as in the two-dimensional SCFTs.19 pages LaTeX; Talk given by T. Eguchi at "Mathematical Beauty of Physics in Memory of Claude Itzykson", Saclay, June 5-7, 1996High Energy Physics - Theory$N=2$ Superconformal Field Theories in $4$ Dimensions and A-D-E Classificationtext