Lattice Virasoro algebra and corner transfer matrices in the Baxter eight-vertex model

A lattice Virasoro algebra is constructed for the Baxter eight-vertex model. The operator ${\mathrm{L}}_0$ is obtained from the logarithm of the corner transfer matrix and is given by the first moment of the XYZ spin-chain Hamiltonian. The algebra is valid even when the Hamiltonian includes a mass term, in which case it represents lattice coordinate transformations which distinguish between even and odd sublattices. We apply the quantum inverse scattering method to demonstrate that the Virasoro algebra follows from the Yang-Baxter relations.