Abstract
In this paper, we determine the first cohomology groups of centerless N = 1 super Virasoro algebras with coefficients in their tensor density modules. As applications, we classify all central extensions and derivations of the complete spectrum-generating superalgebra.
Acknowledgments
We gratefully acknowledge the partial financial support from the NSFC (No. 11871249) and the Natural Science Foundation of Shanghai (16ZR1425000).