Logarithmic Conformal Field Theory and Boundary Effects in the Dimer Model

We study the finite-size corrections of the dimer model on∞×Nsquare lattice with two differentboundary conditions: free and periodic. We find that the finite-size corrections in a crucial waydepend on the parity ofN; we also show that such unusual finite-size behavior can be fully explainedin the framework of thec=−2 logarithmic conformal field theor