On Cardy states in the (2,2,2,2) Gepner model

We study Cardy states in the (2,2,2,2) Gepner model from both the algebraic and geometric vantage points. We present the full list of primaries of this model together with their characters. The effects of fixed point resolution are analyzed. Annulus partition functions between various Cardy states are calculated. Using the equivalent description in terms of the T4/Z4 orbifold, the corresponding geometric realization is partially found.