4 research outputs found
Factorization of alternating sums of Virasoro characters
G. Andrews proved that if is a prime number then the coefficients
and of the product have
the same sign, see [A1]. We generalize this result in several directions. Our
results are based on the observation that many products can be written as
alternating sums of characters of Virasoro modules.Comment: Latex, 17 pages. Several formulas and references adde
The 3-state Potts model and Rogers-Ramanujan series
We explain the appearance of Rogers-Ramanujan series inside the tensor
product of two basic -modules, previously discovered by the first
author in [F]. The key new ingredients are Virasoro minimal models and
twisted modules for the Zamolodchikov \WW_3-algebra.Comment: 20 pages, published in CEJ