A generalization of the Verlinde formula in logarithmic conformal field theory

摘要

We propose a generalized Verlinde formula associated with (1, p) logarithmic models of two-dimensional conformal field theories, which have applications in statistical physics problems such as the sand-pile model and phase transitions in polymers. This formula gives the integer structure constants in the whole (3p-1)-dimensional space of vacuum torus amplitudes in which the fusion algebra is a 2p-dimensional subalgebra.