1997/09/11 by P. S. Montague
Physics and Astronomy · #hep-th
published as Lett.Math.Phys. 44 (1998) 105-120 · 18 pages, LaTeX
arxiv created 1997/09/11 · arxiv updated 2009/11/30
By considering constraints on the dimensions of the Lie algebra corresponding to the weight one states of Z2 and Z3 orbifold models arising from imposing the appropriate modular properties on the graded characters of the automorphisms on the underlying conformal field theory, we propose a set of constructions of all but one of the 71 self-dual meromorphic bosonic conformal field theories at central charge 24. In the Z2 case, this leads to an extension of the neighborhood graph of the even self-dual lattices in 24 dimensions to conformal field theories, and we demonstrate that the graph becomes disconnected.