H. Kachkachi et M. Kachkachi, SUPERCONFORMAL STRUCTURES AND HOLOMORPHIC 1 2-SUPERDIFFERENTIALS ON N=1 SUPER RIEMANN SURFACES/, Modern physics letters A, 8(38), 1993, pp. 3643-3658
Using the super Riemann-Roch theorem we give a local expression for a
holomorphic 1/2-superdifferential in a superconformal structure parame
trized by special isothermal coordinates on an N = 1 super Riemann sur
face. The holomorphy of these coordinates with respect to super Beltra
mi differentials is proved. The monodromy of these differentials is di
scussed.