Classification of Ten-Dimensional Heterotic Strings

Details Classification of Ten-Dimensional Heterotic Strings Classification of Ten-Dimensional Heterotic Strings

1991-12-04

arxiv.org/abs/hep-th/9112006v1

Phys.Lett. B277 (1992) 277-284

Physics

High Energy Physics

High Energy Physics - Theory

14 pages

Scientific paper

10.1016/0370-2693(92)90747-R

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.

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