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Construction and classification of Coulomb branch geometries

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arxiv 2003.04954 v1 pith:RVIADHZ4 submitted 2020-03-10 hep-th

classification hep-th
keywords programbranchclassificationcoulombgeometriesresultsappearauthors
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abstract

We give a non-technical summary of the classification program, very dear to the hearts of both authors, of four dimensional $\mathcal{N}=2$ superconformal field theories (SCFTs) based on the study of their Coulomb branch geometries. We outline the main ideas behind this program, review the most important results thus far obtained, and the prospects for future results. This contribution will appear in the volume "the Pollica perspective on the (super)-conformal world" but we decided to also make it available separately in the hope that it could be useful to those who are interested in obtaining a quick grasp of this rapidly developing program.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Higgsless Lagrangian SCFTs and Strongly Finite VOAs

    hep-th 2026-07 conditional novelty 7.0 of 10

    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.

  2. Generalized Schur partition functions and RG flows

    hep-th 2025-06 conditional novelty 6.0 of 10

    The generalized Schur partition function of SU(2) N_f=4 SQCD, evaluated at alpha = h^vee_g / 6, reproduces the Schur indices of every SCFT in the Deligne-Cvitanovic rank-one series.

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