Minseok Cho

A database of exact finite expansions of the Schur index of four-dimensional N=2 superconformal theories of class S. Release 5 holds 118,867 records, one per construction or Argyres–Douglas label: untwisted theories of type A₁–A₄, D₄, E₆, E₇ and E₈, ℤ₂-twisted theories of type A₃, D₄ and E₆, ℤ₃-twisted theories of type D₄, and Argyres–Douglas theories with one irregular puncture. Every series is computed from a published index formula with exact integer arithmetic and stored through x²⁰ (x = q^(1/2)), and every record names its sources: the index formula, the catalogue location of every piece of its construction, the sources of its annotations, and earlier computations of the same index in…

Every record of the enumeration of four-dimensional 𝒩=1 theories obtained from seed gauge theories with a simple gauge group by adding superpotential terms one at a time, with the superconformal R-symmetry fixed by a-maximization, decoupled operators removed by flip fields, and each candidate tested with its superconformal index (arXiv:2408.02953, arXiv:2510.19136). The records were computed again from the seeds with the package landscape (package 0.6.0 at commit 8046126 of that repository, native extension 0.12.0; pipelinecommit records the development commit a4b6e37 of the same code), level by level until a level has no input. This version supersedes the dataset's first one (commit…