(1) Swiss Federal Institute of Technology Lausanne, DMT-IMS, CH-1015 Lausanne, Switzerland;(2) Laboratoire SUBATECH, Université de Nantes, Ecole des Mines de Nantes, 4 Rue Alfred Kastler, La Chantrerie, BP 20722, 44307 Nantes, France
Abstract:
We introduce a general method in order to construct the nonchiral fusion rules which determine the operator content of the operator product algebra for rational conformal field theories. We are particularly interested in the models of the complementary D-like solutions of the modular invariant partition functions with cyclic center ZN. We find that the nonchiral fusion rules have a ZN-grading structure.