The 3-State Potts Model and Rogers-Ramanujan Series
Vertex algebras, Quantum Algebra, Representation Theory, W-algebras
We explain the appearance of Rogers-Ramanujan series inside the tensor product of two basic A (2) 2 -modules, previously discovered by the first author in [F]. The key new ingredients are (5, 6) Virasoro minimal models and twisted modules for the Zamolodchikov W3-algebra.
The final version is published in the Central European Journal of Mathematics, 11(1), 1-16., published by Springer. doi: 10.2478/s11533-012-0086-7
Feingold, A.J. & Milas, A. centr.eur.j.math. (2013) 11: 1. doi:10.2478/s11533-012-0086-7