superalgebra and (synthetic ) supergeometry The Green-Schwarz action functional is an action functional for a sigma-model that describes the propagation of a fundamental super -brane in a super spacetime supermanifold. For this is the Green-Schwarz superparticle. For this is the Green-Schwarz superstring (Green-Schwarz 84) For this is the Green-Schwarz supermembrane (Bergshoeff-Sezgin-Townsend 87) The Green-Schwarz model of the superstring is in contrast to the NSR-string model (the original...