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Abstract

The authors construct a string-theoretic, geometric classification of four-dimensional, N=2 superconformal theories, which confirms quantum field theory results obtained for the smallest non-abelian gauge groups, but also provides a way to classify theories with higher-rank gauge groups. After more than a quarter-century of the groundbreaking Seibwerg-Witten papers on the topic and many specific developments, this could finally lead to a complete classification of these theories.

Topics & Concepts