## Possible geometrical origin of the fermionic gauge symmetry in Green-Schwarz-Siegel superstrings

The fermionic {kappa} symmetry which invariably occurs in strings and membranes with ten-dimensional manifest spacetime supersymmetry is traced directly to the supersymmetry algebra (as modified recently by Green), using the techniques of Hamiltonian reduction applied to the constrained gauged version of the Wess-Zumino-Witten model obtained by Green from the Chern-Simons gauge theory corresponding to this superalgebra. We outline a recipe whereby the remaining first-class constraints of Siegel's modified superstring may be similarly obtained.