58 citations · 100 across the 3 of their papers we have counts for
5 papers
S_4-symmetry of 6j-symbols and Frobenius-Schur indicators in rigid monoidal C^*-categories
J. Fuchs, A. Ch. Ganchev, K. Szlachanyi +1
We show that a left-rigid monoidal C^*-category with irreducible monoidal unit is also a sovereign and spherical category. Defining a Frobenius-Schur type indicator we obtain selec…
Fusion rules for admissible representations of affine algebras: the case of
P. Furlan, A. Ch. Ganchev, V. B. Petkova
We derive the fusion rules for a basic series of admissible representations of at fractional level . The formulae admit an interpretation in terms of the affin…
Admissible Representations -- Fusion Transformations and Local Correlators
P. Furlan, A. Ch. Ganchev, V. B. Petkova
We reconsider the earlier found solutions of the Knizhnik-Zamolodchikov (KZ) equations describing correlators based on the admissible representations of . Exploiting a s…
Singular Vectors of Algebras via DS Reduction of
P. Furlan, A. Ch. Ganchev, V. B. Petkova
The BRST quantisation of the Drinfeld - Sokolov reduction applied to the case of is explored to construct in an unified and systematic way the general singular vector…
Reduction of the Knizhnik-Zamolodchikov Equation - a Way of Producing Virasoro Algebra Singular Vectors
A. Ch. Ganchev, V. B. Petkova
It is shown that the sl(2,C) KZ equation for (half-) integer isospins recovers, up to a gauge transformation, the matrix system for Virasoro algebra singular vectors of Bauer et al…