5 papers
Polytope sums and Lie characters
M. A. Walton
A new application of polytope theory to Lie theory is presented. Exponential sums of convex lattice polytopes are applied to the characters of irreducible representations of simple…
Fusion rules and the Patera-Sharp generating-function method
L. Begin, C. Cummins, P. Mathieu +1
We review some contributions on fusion rules that were inspired by the work of Sharp, in particular, the generating-function method for tensor-product coefficients that he develope…
Affine Kac-Moody Algebras and the Wess-Zumino-Witten Model
Mark Walton
These lecture notes are a brief introduction to Wess-Zumino-Witten models, and their current algebras, the affine Kac-Moody algebras. After reviewing the general background, we foc…
Spectra of Conformal Field Theories with Current Algebras
T. Gannon, P. Ruelle, M. A. Walton
This is an elementary review of our recent work on the classification of the spectra of those two-dimensional rational conformal field theories (RCFTs) whose (maximal) chiral algeb…
Crystallising the Depth Rule for WZNW Fusion Coefficients
A. N. Kirillov, P. Mathieu, D. Sénéchal +1
Motivated by a formula (due to Zelobenko) for finite Lie algebra tensor products, we propose a reformulation of the Gepner-Witten depth rule. Implementation of this rule remains di…