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arXiv · hep-th/9502138

Third and Higher Order NFPA Twisted Constructions of Conformal Field Theories from Lattices

P. S. Montague
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Abstract

We investigate orbifold constructions of conformal field theories from lattices by no-fixed-point automorphisms (NFPA's) $Z_p$ 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.

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P. S. Montague. 1995-02-24. Third and Higher Order NFPA Twisted Constructions of Conformal Field Theories from Lattices. https://doi.org/10.1016/0550-3213(95)00115-9

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