Klumper, A.Batchelor, M. T.Pearce, P. A.2025-12-162025-12-160305-4470ORCID:/0000-0001-6742-0518/work/162950070https://hdl.handle.net/1885/733795178A new and general analytic method for calculating finite-size corrections and central charges is applied to the 6- and 19-vertex models and their related spin-1/2 and spin-1 XXZ chains with twisted boundary conditions. Nonlinear integral equations are derived from which the central charge c can be extracted in terms of Rogers dilogarithms. For twist angle phi , the central charge is c=3S/S+1 (1-4(S-1) phi 2/ pi ( pi -2S gamma )) where gamma is the crossing parameter or chain anisotropy and spin S=1/2 or 1. For periodic boundary conditions ( phi =0) this reduces to the known results c=1 and c=3/2, respectively.23en199110.1088/0305-4470/24/13/02533751272621