Meromorphicc=24 conformal field theories

1992/05/20 by A.N. Schellekens, A. N. Schellekens · 17 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1007/bf02099044

published as Commun.Math.Phys. 153 (1993) 159-186 · 38 pages, CERN-TH.6478/92

arxiv created 1992/05/20 · openalex publication_date 1993/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

Modular invariant conformal field theories with just one primary field and central charge c=24 are considered. It has been shown previously that if the chiral algebra of such a theory contains spin-1 currents, it is either the Leech lattice CFT, or it contains a Kac-Moody sub-algebra with total central charge 24. In this paper all meromorphic modular invariant combinations of the allowed Kac-Moody combinations are obtained. The result suggests the existence of 71 meromorphic c=24 theories, including the 41 that were already known.

Citations

• Infinite conformal symmetry in two-dimensional quantum field theory
• Classification of ten-dimensional heterotic strings

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