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

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arxiv 1602.02764 v1 pith:2Z7EDALA submitted 2016-02-08 hep-th

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

classification hep-th
keywords scftsrank-1mathcalconsistencyexistenceflowsfourpossible
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We refine our previous proposal for systematically classifying 4d rank-1 $\mathcal N=2$ SCFTs by constructing their possible Coulomb branch geometries. Four new recently discussed rank-1 theories, 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 strong case for the existence of at least four additional rank-1 SCFTs, nearly doubling the number of known rank-1 SCFTs. The refinement consists of relaxing the assumption that the flavor symmetries of the SCFTs have no discrete factors. This results in an enlarged (but finite) set of possible rank-1 SCFTs. Their existence can be further constrained using consistency of their central charges and RG flows.

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  1. Higgsless Lagrangian SCFTs and Strongly Finite VOAs

    hep-th 2026-07 conditional novelty 7.0

    Higgsless Lagrangian N=2 SCFTs are sparse (free vectors, one SO/USp quiver family, three sporadics); the VOAs of two sporadics are strongly finite and logarithmic.