Logarithmic Conformal Field Theory and Boundary Effects in the Dimer Model

We study the finite-size corrections of the dimer model on a ∞×N square lattice with two different boundary conditions: free and periodic. We find that the finite-size corrections depend in a crucial way on the parity of N; we also show that such unusual finite-size behavior can be fully explained in the framework of the c=-2 logarithmic conformal field theory.