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5 papers · 2 filters
Fusion bases as facets of polytopes
L. Bégin, C. Cummins, L. Lapointe +1
A new way of constructing fusion bases (i.e., the set of inequalities governing fusion rules) out of fusion elementary couplings is presented. It relies on a polytope reinterpretat…
Parafermionic quasi-particle basis and fermionic-type characters
P. Jacob, P. Mathieu
A new basis of states for highest-weight modules in $\ZZ_k$ parafermionic conformal theories is displayed. It is formulated in terms of an effective exclusion principle constrainin…
Single-channel correlators and residue calculus
P. Jacob, P. Mathieu
Some simple (namely, single-channel) correlation functions involving an arbitrary number of fields are computed by means of a direct application of the residue calculus, through pa…
Jack superpolynomials, superpartition ordering and determinantal formulas
P. Desrosiers, L. Lapointe, P. Mathieu
We call superpartitions the indices of the eigenfunctions of the supersymmetric extension of the trigonometric Calogero-Moser-Sutherland model. We obtain an ordering on superpartit…
Supersymmetric Calogero-Moser-Sutherland models and Jack superpolynomials
P. Desrosiers, L. Lapointe, P. Mathieu
A new generalization of the Jack polynomials that incorporates fermionic variables is presented. These Jack superpolynomials are constructed as those eigenfunctions of the supersym…