1991/12/04 by A.N. Schellekens, A. N. Schellekens · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #hep-th
paper · pdf · doi:10.1016/0370-2693(92)90747-r
published as Phys.Lett. B277 (1992) 277-284 · 14 pages
arxiv created 1991/12/04 · openalex publication_date 1992/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Progress towards the classification of the meromorphic c=24 conformal field theories is reported. It is shown if such a theory has any spin-1 currents, it is either the Leech lattice CFT, or it can be written as a tensor product of Kac-Moody algebras with total central charge 24. The total number of combinations of Kac-Moody algebras for which meromorphic c=24 theories may exist is 221. The next step towards classification is to obtain all modular invariant combinations of Kac-Moody characters. The presently available results are sufficient to obtain a complete list of all ten-dimensional heterotic strings. Furthermore there are strong indications for the existence of several (probably at least 20) new meromorphic c=24 theories.