Third and higher order NFPA twisted constructions of conformal field theories from lattices
Abstract
We investigate orbifold constructions of conformal field theories from lattices by nofixedpoint automorphisms (NFPAs) Z_{p} for p prime, p > 2, concentrating on the case p = 3. Explicit expressions are given for most of the relevant vertex operators, and we consider the locality relations necessary for these to define a consistent conformal field theory. A relation to constructions of lattices from codes, analogous to that found in earlier work in the p = 2 case which led to a generalisation of the triality structure of the Monster module, is also demonstrated.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1995
 DOI:
 10.1016/05503213(95)001159
 arXiv:
 arXiv:hepth/9502138
 Bibcode:
 1995NuPhB.441..337M
 Keywords:

 High Energy Physics  Theory
 EPrint:
 LaTeX 46 pages