FERMIONIC CONFORMAL FIELD THEORY

In analogy with the construction of the Z₂-twisted bosonic conformal field theory, whose discrete automorphism group is the Monster group, the largest finite sporadic simple group, an explicit construction is given for the Z₂-twisted fermionic conformal field theory comprised of a Neveu-Schwarz and a Ramond sector. A triality element, a discrete symmetry of the bosonic conformal field theory which is responsible for promoting Conway's group to the Monster, is a generic feature of twisted conformal field theory.