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 [Feingold A.J., Some applications of vertex operators to Kac-Moody algebras, In: Vertex Operators in Mathematics and Physics, Berkeley, November 10–17, 1983, Math. Sci. Res. Inst. Publ., 3, Springer, New York, 1985, 185–206]. The key new ingredients are (5,6)Virasoro minimal models and twisted modules for the Zamolodchikov W 3-algebra.
@article{bwmeta1.element.doi-10_2478_s11533-012-0086-7,
author = {Alex Feingold and Antun Milas},
title = {The 3-state Potts model and Rogers-Ramanujan series},
journal = {Open Mathematics},
volume = {11},
year = {2013},
pages = {1-16},
zbl = {1321.17016},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0086-7}
}
Alex Feingold; Antun Milas. The 3-state Potts model and Rogers-Ramanujan series. Open Mathematics, Tome 11 (2013) pp. 1-16. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0086-7/
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