ADE FUNCTIONAL DILOGARITHM IDENTITIES AND INTEGRABLE MODELS

We describe a new infinite family of multi-parameter functional equati ons for the Rogers dilogarithm, generalizing Abel's and Euler's formul as. They are suggested by the Thermodynamic Bethe Ansatz approach to t he renormalization group flow of 2D integrable, ADE-related quantum fi eld theories. The known sum rules for the central charge of critical f ixed points can be obtained as special cases of these. We conjecture t hat similar functional identities can be constructed for any rational integrable quantum field theory with factorized S-matrix and support i t with extensive numerical checks.