ROW TRANSFER-MATRIX FUNCTIONAL-EQUATIONS FOR A-D-E LATTICE MODELS

Determinantal functional equations satisfied by the row transfer matrix eigenvalues of critical A-D-E lattice spin models are presented. These are obtained for models associated with the Lie algebras A(L-1)(1), D(L-1)(1), A(L), D(L) and E6,7,8 by exploiting connections with functional equations satisfied by the row transfer matrix eigenvalues of the six-vertex model at rational values of the crossing parameter lambda = spi/h where h is the Coxeter number. In addition, fusion is used to derive special functional equations, called inversion identity hierarchies, which provide the key to the direct calculation of finite-size corrections, central charges and conformal weights for the critical A-D-E lattice models.