New functional dilogarithm identities and sine-Gordon Y-systems

The sine-Gordon Y-systems and those of the minimal Mp,q+ϕ13 models are determined in a compact form and a correspondence between the rational numbers and a new infinite family of multi-parameter functional equations for the Rogers dilogarithm is pointed out. The relation between the TBA-duality and the massless RG fluxes in the minimal models recently conjectured is briefly discussed.