Tricritical 3-state Potts model and vertex operator algebras constructed from ternary codes

摘要

We construct a class of vertex operator algebras based on the tricritical 3-state Potts model L(6/7, 0) and some ternary codes. We also compute their irreducible modules. In addition, we show that there is a natural VOA automorphism of order 3 or 1 associated with a subalgebra isomorphic to L(6/7, 0) circle plus L(6/7, 5).