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Search: authors:"Philip C. Argyres"

6 papers found.
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The singularity structure of scale-invariant rank-2 Coulomb branches

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...

4d \( \mathcal{N} \) =2 theories with disconnected gauge groups

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...

Seiberg-Witten geometries for Coulomb branch chiral rings which are not freely generated

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...

Expanding the landscape of \( \mathcal{N} \) = 2 rank 1 SCFTs

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...

The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects

We study the dynamics of four dimensional gauge theories with adjoint fermions for all gauge groups, both in perturbation theory and non-perturbatively, by using circle compactification with periodic boundary conditions for the fermions. There are new gauge phenomena. We show that, to all orders in perturbation theory, many gauge groups are Higgsed by the gauge holonomy around...