2014/12/22 by Gaiotto, Davide
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.1412.7118
This is the first article in the collection of reviews "Exact results on N=2 supersymmetric gauge theories", ed. J. Teschner. It describes how large families of field theories with N=2 supersymmetry can be described by means of Lagrangian formulations, or by compactification from the six-dimensional theory with (2,0) supersymmetry on spaces of the form M4 × C, with C being a Riemann surface. The class of theories that can be obtained in this way is called class \cal S. This description allows us to relate key aspects of the four-dimensional physics of class \cal S theories to geometric structures on C.