2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184236We propose nonlinear integral equations to describe the groundstate energy of the fractional supersymmetric sine-Gordon models. The equations encompass the N=1 supersymmetric sine-Gordon model as well as the phi_(id,id,adj) perturbation of the SU(2)_L x SU(2)_K /SU(2)_(L+K) models at rational level K. A second set of equations are proposed for the groundstate energy of the N=2 supersymmetric sine-Gordon model.14 pages, no figures. v2: small improvements and references addedHigh Energy Physics - Theorytext