RG flows from super-Liouville theory to critical Ising model

We study an integrable deformation of the super-Liouville theory which generates a RG flows to the critical Ising model as the IR fixed point. This model turns out to be a supersymmetric sinh-Gordon model with spontaneously broken N=1 supersymmetry. The resulting massless goldstino is the only stable on-shell particle which controls the IR behaviours. We propose the exact S-matrix of the goldstino and compare associated thermodynamic Bethe ansatz equations with the quantization conditions derived from the reflection amplitudes of the super-Liouville theory to provide nonperturbative checks for both the (NS) and the (R) sectors.