A bstract We study the four-dimensional N N = 2 superconformal field theories that describe D3-branes probing the recently constructed N N = 2 S S -folds in F-theory. We introduce a novel, infinite class of superconformal field theories related to S S -fold theories via partial Higgsing. We determine several properties of both the S S -fold models and this new class of theories, including their central charges, Coulomb branch spectrum, and moduli spaces of vacua, by bringing to bear an array of field-theoretical techniques, to wit, torus-compactifications of six-dimensional N N = (1 , 0) theories, class S S technology, and the SCFT/VOA correspondence.
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