4 papers · 1 filter
Algorithms for affine Kac-Moody algebras
Terry Gannon
Weyl groups are ubiquitous, and efficient algorithms for them -- especially for the exceptional algebras -- are clearly desirable. In this paper we provide several of these, addres…
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…
The Classification of SU(m)_{k} Automorphism Invariants
Terry Gannon
In this paper we find all permutations of the level k weights of the affine algebra A_r^{(1)} which commute with both its S and T modular matrices. We find that all of these are si…
The Classification of SU(3) Modular Invariants Revisited
Terry Gannon
The SU(3) modular invariant partition functions were first completely classified in Ref.\ \SU. The purpose of these notes is four-fold: \item{(i)} Here we accomplish the SU(3) clas…