Decoupling the SU(N)2-homogeneous sine-Gordon model

We provide a systematic construction for all n-particle form factors of the SU(N)2/U(1)N-1-homogeneous sine-Gordon model in terms of general determinant formulas for a large class of local operators. The ultraviolet limit is carried out and the corresponding Virasoro central charge, together with the conformal dimensions of various operators, are identified. The renormalization-group flow is studied and we find a precise rule, depending on the relative order of magnitude of the resonance parameters, according to which the theory decouples into new cosets along the flow