From Spinning Primaries to Permutation Orbifolds

Understand

We carry out a systematic study of primary operators in the conformal field theory of a free Weyl fermion.

• Using SO(4,2) characters we develop counting formulas for primaries constructed using a fixed number of fermion fields.
• By specializing to particular classes of primaries, we derive very explicit formulas for the generating functions for the number of primaries in these classes.
• We present a duality map between primary operators in the fermion field theory and polynomial functions.