The online database of Vertex Operator Algebras and Modular Categories (Version 0.5)

Table of content

• Vertex operator algebras
  • Systematic vertex operator algebra catalog
  • List of VOAs by central charge
  • complete List of VOAs
  • List of known VOA isomorphisms
• Modular Categories
  • Systematic modular tensor category catalog
  • List of MTCs by number of simple modules
  • List of MTCs by level
  • List of MTCs by Discriminant
  • List of MTCs by central charge
  • complete List of MTCs
  • List of known MTC isomorphisms
• User guides
  • VOA glossary
  • MTC glossary
  • Status of the database
  • Note on correctness
  • known bugs
• Some links

Some links

• related: R. Borcherds' tables of lattices, Catalogue of lattices by Nebe and Sloane, S. Morrison's Atlas of subfactors, B. Schellekens' "(K)omputations with (A)lgebras and (C)urrents"
• undecided: polynomials with small Mahler measure, Projective Planes of Small Order, Livingston's Table of Knot Invariants, Particle Listings,
• unrelated: FishBase, Genome Database, Stars