Finite Size Corrections for Dimers

In this paper we derive the finite size corrections to the energy eigenvalues of the energy for 2D dimers on a square lattice. These finite size corrections, as in the case of Critical Dense Polymers, are proportional to the eigenvalues of the Local Integrals of Motion of Bazhanov Lukyanov and Zamolodchikov for central charge $c=-2$. This sheds more light on the status of the Dimer model as a conformal field theory with this value of the certral charge.