Realizations of pseudo bosonic theories with non-diagonal automorphisms Original Research Article

Pseudo conformal field theories are theories with the same fusion rules, but different modular matrix as some conventional field theory. One of the authors defined these and conjectured that, for bosonic systems, they can all be realized by some actual RCFT, which is that of free bosons. We complete the proof here by treating the non-diagonal automorphism case. It is shown that for characteristic p≠2, they are equivalent to a diagonal case, fully classified in our previous publication. For p=2n we realize the non-diagonal cases, establishing this theorem.