Logarithmic correlation functions for critical dense polymers on the cylinder

We compute lattice correlation functions for the model of critical dense polymers on a cylinder of perimeter n. We find explicit expressions for these correlators for finite n in terms of integral formulae. We interpret these lattice results in terms of conformal four-point functions in a logarithmic conformal field theory with central charge c=-2. We derive differential equations satisfied by the conformal correlation functions, solve these equations in terms of hypergeometric functions, and find a perfect agreement with the lattice results.