A Riemann surface with spin structure that is also a branched cover of is canonically endowed with the structure of a super Riemann surface with Ramond punctures? (Donagi-Witten 15). This implies that adinkras encode certain very special super Riemann surfaces Doran & Iga & Landweber & Mendez-Diez 13.
The concept of super Riemann surfaces originates with the following articles:
Daniel Friedan, Notes On String Theory and 2-Dimensional Conformal Field Theory. 1986
M.A. Baranov, Albert Schwarz, On the Multiloop Contribution to the String Theory Int.J.Mod.Phys., A2:1773, 1987
Yuri Manin, Critical Dimensions of String Theories and the Dualizing Sheaf on the Moduli Space of (Super) Curves, Funct.Anal.Appl., 20:244-245, 1987
S. B. Giddings and P. Nelson, The Geometry of super Riemann surfaces, Commun. Math. Phys., 116, (1988), 607
Further discussion of the moduli space of super Riemann surfaces includes the following: