2 N ov 1 99 5 Oct . 1995 Thermodynamic Bethe Ansatz for N = 1 Supersymmetric Theories

We study a series of N = 1 supersymmetric integrable particle theories in d = 1 + 1 dimensions. These theories are represented as integrable perturbations of specific N = 1 superconformal field theories. Starting from the conjectured S-matrices for these theories, we develop the Thermodynamic Bethe Ansatz (TBA), where we use that the 2-particle S-matrices satisfy a free fermion condition. Our analysis proves a conjecture by E. Melzer, who proposed that these N = 1 supersymmetric TBA systems are " folded " versions of N = 2 supersymmetric TBA systems that were first studied by P. Fendley and K. Intriligator.