Families of N=2 field theories

Davide Gaiotto

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arXiv · 1412.7118

Families of N=2 field theories

Davide Gaiotto

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Abstract

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 $M^4 \times C$, 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.

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Davide Gaiotto. 2014-12-22. Families of N=2 field theories. https://arxiv.org/abs/1412.7118

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