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Abstract We compute the spectrum of scaling dimensions of Coulomb branch operators in 4d rank-2 \( \mathcal{N}=2 \) superconformal field theories. Only a finite rational set of scaling dimensions is allowed. It is determined by using information about the global topology of the locus of metric singularities on the Coulomb branch, the special Kähler geometry near those...

JHE
Geometric constraints on the space of
0 Physics Department, University of Cincinnati
1 Philip Argyres, Matteo Lotito, Yongchao Lu and **Mario** **Martone**
We initiate a systematic study of four

Coulomb branch chiral rings of \( \mathcal{N}=2 \) SCFTs are conjectured to be freely generated. While no counter-example is known, no direct evidence for the conjecture is known either. We initiate a systematic study of SCFTs with Coulomb branch chiral rings satisfying non-trivial relations, restricting our analysis to rank 1. The main result of our study is that (rank-1) SCFTs...

In this paper we present a beautifully consistent web of evidence for the existence of interacting 4d rank-1 \( \mathcal{N} \) = 2 SCFTs obtained from gauging discrete subgroups of global symmetries of other existing 4d rank-1 \( \mathcal{N} \) = 2 SCFTs. The global symmetries that can be gauged involve a non-trivial combination of discrete subgroups of the U(1) R , low-energy EM...

We refine our previous proposal [1-3] for systematically classifying 4d rank-1 \( \mathcal{N} \) = 2 SCFTs by constructing their possible Coulomb branch geometries. Four new recently discussed rank-1 theories [4, 5], including novel \( \mathcal{N} \) = 3 SCFTs, sit beautifully in our refined classification framework. By arguing for the consistency of their RG flows we can make a...

We investigate the IR dynamics of \( \mathcal{N} \) = 2 SUSY gauge theories in 3D with antisymmetric matter. The presence of the antisymmetric fields leads to further splitting of the Coulomb branch. Counting zero modes in the instanton background suggests that more than a single direction along the Coulomb branch may remain unlifted. We examine the case of SU(4) with one or two...