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

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

1995-02-24

arxiv.org/abs/hep-th/9502138v1

Nucl.Phys.B441:337-382,1995

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX 46 pages

Scientific paper

10.1016/0550-3213(95)00115-9

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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