Abstract
We study the four-dimensional mathcal{N} = 2 superconformal field theories that describe D3-branes probing the recently constructed mathcal{N} = 2 mathcal{S} -folds in F-theory. We introduce a novel, infinite class of superconformal field theories related to mathcal{S} -fold theories via partial Higgsing. We determine several properties of both the mathcal{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 mathcal{N} = (1, 0) theories, class mathcal{S} technology, and the SCFT/VOA correspondence.
Highlights
As Argyres-Douglas models [5] and theories of class S [6]
The F-theory realization indicates that the flavor symmetry of the superconformal field theory on the stack of r probe branes does not depend on the rank r of the theory, but comparison with the classification of rank-one theories shows that an enhancement must occur when r = 1 [21]
What’s more, we will argue that the enhancement of the flavor symmetry of rank-one S-folds goes hand in hand with the renormalization group flow triggered by Higgsings along any direction inside the intersection of the enhanced Coulomb branch (ECB) and the Higgs branch being equivalent to the flow described above
Summary
Flavor Symmetry Sp(4)6r+1 × SU (2)6r2+r Sp(2)4r+1 × SU (2)8r × SU (2)4r2+r Sp(1)3r+1 × U (1) × SU (2)3r2+r. We present a uniform realization of these models as torus-compactifications of six-dimensional N = (1, 0) SCFTs [25,26,27] in the presence of almost commuting holonomies for the flavor symmetry along the two nontrivial cycles of the torus. Our torus-compactifications with almost-commuting holonomies generalize the rank-one results of [28] and provide an alternative, purely field-theoretical definition of all N = 2 S-fold theories Using this construction, we rederive the theory’s. We observe that for r = 2 the flavors on the left and on the right are charged under the same gauge group indicating the above-mentioned flavor symmetry enhancement These six-dimensional constructions allow us to rederive all data of table 2. We extend the geometric analysis of these models by computing the flavor central charges of the simple factors of their global symmetry group
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