Logarithmic Conformal Field Theory and Boundary Effects in the Dimer Model

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We study the finite-size corrections of the dimer model on ∞ × N square lattice with two different boundary conditions: free and periodic. We find that the finite-size corrections in a crucial way depend 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.