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Two Applications of Nilpotent Higgsing in Class-S
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abstract
We introduce a class of Higgs-branch RG flows in theories of class-S, which flow between $d=4$ $\mathcal{N}=2$ SCFTs of the same ADE type. We discuss two applications of this class of RG flows: 1) determining the current-algebra levels in SCFTs where they were previously unknown - a program we carry out for the class-S theories of type $E_6$ and $E_7$ - and 2) constructing a multitude of examples of pairs of $\mathcal{N}=2$ SCFTs whose "conventional invariants" coincide. We disprove the conjecture of [1] that the global form of the flavour symmetry group is a reliable diagnostic for determining when two such theories are isomorphic.
Forward citations
Cited by 3 Pith papers
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On Twisted $A_{2n}$ Class-S Theories
A proposed formula and puncture data for twisted A2n Coulomb branch dimensions, built on a conjectured metaplectic special map d'.
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A Pathway to Decay and Fission of Orthosymplectic Quiver Theories
An orthosymplectic extension of the Decay and Fission algorithm is proposed, validated on class S and 6d orbi-instanton quivers, and used to predict new Higgs branch RG flows.
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Even More On Twisted $A_{2n}$ Class-S Theories
An order-4 twist automorphism and local polynomial constraints determine the Coulomb branch Hitchin systems for twisted A_{2n} class-S punctures, with explicit Seiberg-Witten curves for examples.
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