N = 2 supersymmetry and Bailey pairs

We demonstrate that the Bailey pair formulation of Rogers—Ramanujan identities unifies the calculations of the characters of N = 1 and N = 2 supersymmetric conformal field theories with the counterpart theory with no supersymmetry. We illustrate this construction for the M(3,4) (Ising) model where the Bailey pairs have been given by Slater. We then present the general unitary case. We demonstrate that the model M(p,p + 1) is derived from M(p − 1, p) by a Bailey renormalization flow and conclude by obtaining the N = 1 model SM(p,p + 2) and the unitary N = 2 model with central charge c = 3(1 − 2/p).