Integrable deformations of the CFT on hyper-elliptic surfaces

In this letter, we continue the work we started by Apikyan and Efthimiou [Phys. Lett. B 359 (1995) 313], and we propose new series of integrable models in quantum field theory. These models are obtained as perturbed models of the minimal conformal field theories on the hyper-elliptic surfaces by particular relevant operators of the untwisted sector. The quantum group symmetry of the models is also discussed.