VERLINDE NIM-REPS FOR CHARGE CONJUGATE SL(N) WZW THEORY

摘要

We compute the representations ("NIM-reps") of the fusion algebra of sl(N) which determine the boundary conditions of sl(N) WZW theories twisted by the charge conjugation. The problem is related to the classical problem of decomposition of the fundamental representations of sl(N) onto representations of B_l = 80(2l + 1) or C_l = sp(2l) algebras. The relevant NiM-reps and their diagonalization matrix are thus expressed in terms of modular data of the affine B or C algebras.