Radford, Drinfeld, and Cardy boundary states in (1,p) logarithmic conformal field models

Understand

We introduce p-1 pseudocharacters in the space of (1,p) model vacuum torus amplitudes to complete the distinguished basis in the 2p-dimensional fusion algebra to a basis in the whole (3p-1)-dimensional space of torus amplitudes, and the structure constants in this basis are integer numbers.

• We obtain a generalized Verlinde-formula that gives these structure constants.
• In the context of theories with boundaries, we identify the space of vacuum torus amplitudes with the space of Ishibashi states.
• Then, we propose 3p-1 boundary states satisfying the Cardy condition.