Realizations of pseudo bosonic theories with non-diagonal automorphisms

Details Realizations of pseudo bosonic theories with non-diagonal automorphisms Realizations of pseudo bosonic theories with non-diagonal automorphisms

1999-05-23

arxiv.org/abs/hep-th/9905164v1

Nucl.Phys. B561 (1999) 473-479

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, no figures

Scientific paper

10.1016/S0550-3213(99)00508-8

Pseudo conformal field theories are theories with the same fusion rules, but with 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 of free bosons. We complete the proof here by treating the non diagonal automorphism case. It is shown that for characteristics $p\neq2$ they are all equivalent to a diagonal case, fully classified in our previous publication. For $p=2^n$ we realize the non diagonal case, establishing this theorem.

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