The Structure of pre-Verma Modules over the N = 1 Ramond Algebra

In this note, we determine the structure of the pre-Verma modules \(N(z,\frac{1}{24}z)\) over the N = 1 Ramond algebra. The results of this note together with the results obtained in Iohara and Koga [Adv Math 178:1–65, 2003] completely determine the structure of Verma modules over the N = 1 super Virasoro algebra both in Neveu Schwarz and Ramond sectors.