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Third and higher order NFPA twisted constructions of conformal field theories from lattices

Authors
Journal
Nuclear Physics B
0550-3213
Publisher
Elsevier
Publication Date
Volume
441
Identifiers
DOI: 10.1016/0550-3213(95)00115-9
Keywords
  • Methods In Theoretical Physics

Abstract

Abstract We investigate orbifold constructions of conformal field theories from lattices by no-fixed-point 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.

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